)","answer":"704 cm²"},{"id":1561448,"question":"The curved surface area of a cone is 1980 cm² and its radius is 21cm, what is the slanted height of a cone? (Take π = $\\frac{22}{7}$)","answer":"30cm"},{"id":1561449,"question":"A tent of conical shape of base radius 28m and slanted height 20m is to be made from a certain material. What is the total cost of clothing material if the rate of material is ₹80/m²? (Take π = $\\frac{22}{7}$)","answer":"₹140800"},{"id":1561450,"question":"A vessel of conical shape of radius 14cm and slanted height 20cm is to be coloured. What is the cost of painting at a rate of ₹2/cm²? (Take π = $\\frac{22}{7}$)","answer":"₹1760"},{"id":1561451,"question":"Volume of a cylinder having radius r and height h is given by __________","answer":"πr²h"},{"id":1561452,"question":"A cylinder has radius of 7cm and its volume is 1540cm³, what is the height of the cylinder? (Take π = \\(\\frac{22}{7}\\))","answer":"10cm"},{"id":1561453,"question":"A cylinder has volume of 176cm³ and height equal to 14cm, what is the diameter of the cylinder? (Take π = \\(\\frac{22}{7}\\))","answer":"4cm"},{"id":1561454,"question":"A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm³. How many times the water has to be poured from glass to fill the jug completely? (Take π = \\(\\frac{22}{7}\\))","answer":"5"},{"id":1561455,"question":"Cylindrical pillars are to be made for a flat whose radius is 15cm and height is 3.5m. What is the total amount of concrete (in cm³) required to make 15 identical pillars? (Take π = \\(\\frac{22}{7}\\))","answer":"3712500"},{"id":1561456,"question":"A cylinder has a base area equal to 21cm² and height equal to 11cm. What is the volume of the cylinder? (Take π = \\(\\frac{22}{7}\\))","answer":"231cm³"},{"id":1561457,"question":"A steel pipe has outer radius equal to 3cm and inner radius equal to 2cm. Its length is equal to 5m. What is the mass of the pipe if one cm³ of steel is 8.05 gram? (Take π = \\(\\frac{22}{7}\\))","answer":"63.25 kg"},{"id":1561458,"question":"Volume of a cuboid of length l, breadth b and height h is given by __________","answer":"l * b * h"},{"id":1561459,"question":"Volume of a cube of sides equal to l is given by __________","answer":"l³"},{"id":1561460,"question":"Volume of a cuboid is 1176cm³, its length and breadth are 12cm and 7cm respectively. What is the height of the cuboid?","answer":"14cm"},{"id":1561461,"question":"A wall of dimensions 3m * 12cm * 7m is to be made by using bricks of dimesions 25cm * 12cm * 10cm. How much bricks are required to construct the wall?","answer":"840"},{"id":1561462,"question":"What is the cost of digging a pit of cuboidal shape dimensions of which are 5m * 6m * 3m at the rate of ₹35/m³?","answer":"₹3150"},{"id":1561463,"question":"A village has population of 1500 people and requirement of water per head is 200 litres. Water container providing water has dimensions 15m * 25m * 12m. For how many days would the water in the container last? (1000 litres = 1m³)","answer":"15 days"},{"id":1561464,"question":"A water is flowing through the tap at the rate of 50 cm³/s. What is the time requires to fill the container of dimensions 20cm * 10cm * 10cm?","answer":"40 seconds"},{"id":1561465,"question":"A box of dimensions 25cm * 30cm * 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm². How much containers are required to paint the box completely?","answer":"6"},{"id":1561466,"question":"A water tank of dimensions 2m * 3m * 1.5m is to be painted leaving its base. Find the total cost of painting the tank if rate of painting = ₹20/m².","answer":"₹420"},{"id":1561467,"question":"A man has built a cubical water tank in his house. All sides of it are equal to 1.8m. All sides except the base are to be covered by tiles having equal sides of 30cm. How much money will he spend on tiles if cost of tiles is ₹400/dozen?","answer":"₹7200"},{"id":1561468,"question":"A cube of side equal to 20 cm is open from the top. Its total surface area is __________ cm².","answer":"2000"},{"id":1561469,"question":"Volume of a sphere of radius r is equal to __________","answer":"\\(\\frac{4}{3} πr^3\\) "},{"id":1561470,"question":"Volume of a hemisphere of radius r is equal to __________","answer":"\\(\\frac{2}{3} πr^3\\) "},{"id":1561471,"question":"What is the radius of a sphere having volume of 4851cm³? (Take π = \\(\\frac{22}{7}\\))","answer":"10.5 cm"},{"id":1561472,"question":"Curved surface area of a hemisphere is equal to 2772 cm², what is its volume? (Take π = \\(\\frac{22}{7}\\))","answer":"19404 cm³"},{"id":1561473,"question":"A hollow sphere of outer radius of 4 cm and thickness of 3 cm is to be made from metal. What is the total amount of metal required (in cm³) to make the sphere? (Take π = \\(\\frac{22}{7}\\))","answer":"264"},{"id":1561474,"question":"Cost of whitewashing a sphere is 1232₹ at the rate of 2₹/cm². What is the volume of a sphere? (Take π = \\(\\frac{22}{7}\\))","answer":"\\(\\frac{4312}{3}\\) "},{"id":1561475,"question":"A transparent cylinder shown in the figure below is a right circular cylinder.
","answer":"False"},{"id":1561476,"question":"Total surface area of a cylinder having base radius “r” and height “h” is equal to __________
","answer":"2πrh + 2πr²"},{"id":1561477,"question":"A cylinder has a curved surface area of 2640 cm² and radius of 14 cm, what is the height of cylinder? (Take π = $\\frac{22}{7}$)","answer":"30cm"},{"id":1561478,"question":"A roller has diameter of 0.7m and length of 1m. It is used to roll over the cricket pitch. The surface area of the cricket pitch is equal to 60m². How much revolution will roller make to move once over the pitch? (Take π = $\\frac{22}{7}$)","answer":"28"},{"id":1561479,"question":"Surface area of a sphere of radius “r” is given by __________","answer":"4πr²"},{"id":1561480,"question":"Curved surface area of hemisphere of radius “r” is equal to __________","answer":"2πr²"},{"id":1561481,"question":"Total surface are of a hemisphere of radius “r” is equal to __________","answer":"3πr²"},{"id":1561482,"question":"Total surface area of a hemisphere is 4158cm², the diameter of the hemisphere is equal to __________ cm. (Take π = $\\frac{22}{7}$)","answer":"42"},{"id":1561483,"question":"If surface area of a sphere of radius 'R' is equal to curved surface area of a hemisphere of radius 'r', what is the ratio of R/r?","answer":"1/√2"},{"id":1561484,"question":"Volume of a right circular cone of radius r and height h is given by __________","answer":"\\(\\frac{1}{3}\\) πr²h"},{"id":1561485,"question":"What is the volume of a cone having radius of 21cm and height of 5cm?","answer":"2310cm³"},{"id":1561486,"question":"A cone has slanted height of 5cm and height of 4cm, its volume (in cm³) is __________","answer":"37.71"},{"id":1561487,"question":"Ratio of volume of a cone to the volume of a cylinder for same base radius and same height is __________","answer":"\\(\\frac{1}{3}\\) "},{"id":1561488,"question":"A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?","answer":"1232cm³"},{"id":1561489,"question":"In the figure given below, the cone is right circular cone.
","answer":"False"},{"id":1561490,"question":"Total surface area of a cuboid having dimensions l*b*h is __________","answer":"2(lb + bh + lh)"},{"id":1561491,"question":"Total surface area of a cube having sides l is given by __________","answer":"6l²"},{"id":1561492,"question":"Curved surface area of a cylinder having base radius 'r' and height 'h' is equal to __________","answer":"2πrh"}]; let qno = 1; // 1-based index for display const total = CARDS.length || 1; const countSpan = document.getElementById('count'); const totalSpan = document.getElementById('total'); const quesDiv = document.getElementById('ques'); const ansDiv = document.getElementById('ans'); const statusSpan = document.getElementById('status'); const toggleAnsBtn = document.getElementById('toggleAns'); totalSpan.textContent = String(total); let autoTimer = null; const AUTO_MS = AUTOPLAY ? AUTO_DELAY : 12000; function setStatus(t){ statusSpan.textContent = t; } let studioTimer = null; function runStudioAuto(){ if (!IS_STUDIO || !AUTOPLAY) return; clearTimeout(studioTimer); studioTimer = setTimeout(() => { if (!ansDiv.classList.contains('show')) { toggleAnswer(); runStudioAuto(); } else if (qno < total) { nextQuestion(); runStudioAuto(); } }, AUTO_DELAY); } function disableBtns(){ document.getElementById("firstques").disabled = (qno <= 1); document.getElementById("prevques").disabled = (qno <= 1); document.getElementById("nextques").disabled = (qno >= total); document.getElementById("lastques").disabled = (qno >= total); } function cleanHtml(html){ if (!html) return ""; // If there is a trailing ", strip it. // Example: "

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