Question : The height of a cone is 12 cm and the radius of its base is 14 cm. What is the volume of the cone?
Option 1: 2464 cm3
Option 2: 2692 cm3
Option 3: 2248 cm3
Option 4: 2872 cm3
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Correct Answer: 2464 cm3
Solution : Given: Radius = 14 cm Height = 12 cm The volume of a cone = $\frac{1}{3}\pi r^2 h$ Putting the values, we get: The volume of a cone = $\frac{1}{3} \times \frac{22}{7} \times 14^2 \times 12 = 2464$ cm3 Hence, the correct answer is 2464 cm3.
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Question : The volume of a cone is 27720 cm3. If the height of the cone is 20 cm, then what will be the area of the base?
Option 1: 4158 cm2
Option 2: 4272 cm2
Option 3: 4626 cm2
Option 4: 4836 cm2
Question : The area of the base of a solid cone is 616 cm2. If the height of the cone is 15 cm, then what is the volume of this cone?
Option 1: 2940 cm3
Option 2: 3440 cm3
Option 3: 3190 cm3
Option 4: 3080 cm3
Question : What is the volume of a cone whose base diameter is 12 cm and the height is 21.7 cm?
Option 1: 626.35 cm3
Option 2: 548.67 cm3
Option 3: 818.07 cm3
Option 4: 334.59 cm3
Question : Find the curved surface area of a cone of radius 12 cm and slant height 14 cm. (Use $\pi$ = 3.14)
Option 1: 4325.5 cm2
Option 2: 527.52 cm2
Option 3: 5436.6 cm2
Option 4: 501.54 cm2
Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm, what is the volume of the cylinder?
Option 1: 1124.25 cm3
Option 2: 1324.75 cm3
Option 3: 1468.25 cm3
Option 4: 1212.75 cm3
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