Symbiosis National Aptitude Test SNAP 2018 Paper

Question : 53 of 130

Marks: +1, -0

In the figure given below, a Cylinder is inserted into a cone and the vertical height of the cone is 30 cm. The diameter of the cylinder is 8 & radic is 3 cm. What is the volume of the cone?
The base of the cylinder and the base of the cone are on the same plane.

3000 $π \cm^3$
4860 $π \cm^3$
2800 $π \cm^3$
Cannot be determined

Validate

Solution:

From ΔACB, AB = BC ⇒ ∠B = ∠C
=

{180°-60°}/2

= 60°
Now, In ΔADC, tan 60° =

{AD}/{DC}

⇒

√3

{30}/{DC}

⇒ DC =

10√3

cm
Volume of the cone =

1/3π(R^2).H

Here we have R =

10√3

cm
So, Volume of the cone =

1/3π(10√3)^230

= 3000

π \cm^3

Go to Question:

Prev Question

Next Question