Volumes Practice Test 3

Question : 9 of 40

Marks: +1, -0

A right circular cylinder and right cone have equal bases and equal heights. If their curved surface area in the ratio of 8 : 5, determine the ratio of the radius of the base to the height of either of them.

1 : 2
2 : 3
3 : 4
4 : 5

Validate

Solution:

Here,

{2πrh}/{πr√{r^2+h^2}

8/5

⇒

h^2/{r^2+h^2}

{16}/{25}

⇒

25h^2

16r^2 + 16h^2

⇒

16r^2

9h^2

⇒

r^2/h^2

9/{16}

∴

r/h

3/4

Hence, required ratio = 3 : 4

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