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
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Correct Answer: 4158 cm2
Solution : Given, The volume of a cone is 27720 cm3 The height of the cone is 20 cm We know, Volume of a cone = $\frac{1}{3}$ × area of base × height ⇒ 27720 = $\frac{1}{3}$ × area of base × 20 ⇒ area of base = $\frac{27720 × 3}{20}$ ⇒ area of base = 4158 cm2 Hence, the correct answer is 4158 cm2.
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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 : 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
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 : The curved surface area is thrice as big as the base area of a cone. If the diameter of the cone is 1 cm. Then what is the total surface area (in cm2) of the cone?
Option 1: $\pi$
Option 2: $3\pi $
Option 3: $2\pi$
Option 4: $4\pi $
Question : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]
Option 1: 132 cm2
Option 2: 198 cm2
Option 3: 154 cm2
Option 4: 176 cm2
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