Question

A cone and 2 cylinders are shown below. The volume of the cone is 15 cubic centimeters. Each of the 2 cylinder has the same height and the same radius as the cone. What is the combined volume. in cubic centimeters, of the 2 cylinders?
5
10
45
90

Answer 1

Answer:

90$cm^{3}$

Step-by-step explanation:

Given:

The volume of a cylinder =15$cm^{3}$

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder

Formula:

Volume of a cone =$\pi r^{2}h/3$

Volume of a cylinder =$\pi r^{2}h$

To find: Combined volume of both cylinders.

The volume of a cylinder =15$cm^{3}$

$\pi r^{2}h/3$=15$cm^{3}$

$\pi r^{2}h$=15 * 3$cm^{3}$

$\pi r^{2}h$=45$cm^{3}$

[As

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder]

$\pi r^{2}h$=45$cm^{3}$  is the volume of one cylinder.

Combined volume of cylinder = 2* Volume of cylinder = 2*45 =90$cm^{3}$