Choose the correct answer in each of the following :

The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be

(a) 1:3 (b) 3:1 (c) 4:3 (d) 3:4

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Solution

ANSWER:
(b) 3 : 1
It is given that the right circular cylinder and the right circular cone have the same base and height.
Suppose that the respective radii of bases and heights are equal to r and h.
The ratio of their volumes = $ \frac{πr^2h}{ \frac{1}{3}πr^2h$ = $\frac{3}{1}$ = 3 : 1

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Choose the correct answer in each of the following : The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be (a) 1:3 (b) 3:1 (c) 4:3 (d) 3:4

ANSWER: (b) 3 : 1 It is given that the right circular cylinder and the right circular cone have the same base and height. Suppose that the respective radii of bases and heights are equal to r and h. The ratio of their volumes = \( \frac{πr^2h}{ \frac{1}{3}πr^2h\) =31 = 3 : 1

Choose the correct answer in each of the following :

The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be

(a) 1:3 (b) 3:1 (c) 4:3 (d) 3:4

ANSWER:
(b) 3 : 1
It is given that the right circular cylinder and the right circular cone have the same base and height.
Suppose that the respective radii of bases and heights are equal to r and h.
The ratio of their volumes = \( \frac{πr^2h}{ \frac{1}{3}πr^2h\) = $\frac{3}{1}$ = 3 : 1