Question : What is the whole surface area of a cone with a base radius of 6 cm and height of 8 cm?
Option 1: 354.50 cm2
Option 2: 350.51 cm2
Option 3: 301.71 cm2
Option 4: 364.61 cm2
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Correct Answer: 301.71 cm2
Solution : Given: Base, $r$ = 6 cm Height = 8 cm So, slant height, $l$ = $\sqrt{6^2+8^2}=10$ The surface area of a cone = $\pi r(r+l)$ = $\frac{22}{7}×6×(6+10)=\frac{2112}{7}=301.71$ cm2 Hence, the correct answer is 301.71 cm2.
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Question : The volume of a cone whose radius of a base and height are $r$ cm and $h$ cm respectively, is 400 cm3. What will be the volume of a cone whose radius of base and height are $2r$ cm and $h$ cm respectively?
Option 1: 100 cm3
Option 2: 1600 cm3
Option 3: 1200 cm3
Option 4: 800 cm3
Question : The slant height of a cone is 20 cm. If the area of its base is 616 cm2, then what is the curved surface area of this cone? (use $\pi=\frac{22}{7}$)
Option 1: 960 cm2
Option 2: 400 cm2
Option 3: 1760 cm2
Option 4: 880 cm2
Question : The lateral surface area of a frustum of a right circular cone, if the area of its base is 16$\pi$ cm2, the diameter of the circular upper surface is 4 cm and the slant height is 6 cm, will be:
Option 1: $30\pi$ cm2
Option 2: $48\pi$ cm2
Option 3: $36\pi$ cm2
Option 4: $60\pi$ cm2
Question : If the slant height of a cone is 60 cm and the radius of its base is 21 cm, then find its curved surface area is? (use $\pi=\frac{22}{7}$)
Option 1: 3880 cm2
Option 2: 3820 cm2
Option 3: 3960 cm2
Option 4: 4020 cm2
Question : The curved surface area of a right circular cone of a base radius of 21 cm is 594 sq. cm. What is the slant height of the cone?
Option 1: 15 cm
Option 2: 11 cm
Option 3: 9 cm
Option 4: 6 cm
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