If the slant height of a frustum of a cone is 4cm and radii of its two circular ends are
5cm and 2cm, then its curved surface area is
A. 88cm2
B. 22 cm3
C. 48cm
D. 108cm3
Answers
Given data : If the slant height of a frustum of a cone is 4 cm and radii of its two circular ends are 5 cm and 2 cm.
To find : Curved surface area of frustum if a cone ?
Solution : According to given data,
- Radius, R = 5 cm
- Radius, r = 2 cm
- Slant height, h = 4 cm
Now,
⟹ curved surface area of the frustum of a cone
= π * h ( R + r )
⟹ curved surface area of the frustum of a cone
= 22/7 * 4 ( 5 + 2 )
⟹ curved surface area of the frustum of a cone
= 22/7 * 4 * 7
⟹ curved surface area of the frustum of a cone
= 22/7 * 28
⟹ curved surface area of the frustum of a cone
= 22 * 4
⟹ curved surface area of the frustum of a cone
= 88 cm²
Answer : Hence, curved surface area of the frustum of a cone is 88 cm². ( Answer :: A. 88 cm² )
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