Question

2. The volume of a cylinder varies jointly with its height and the square of the radius. A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. Another spice container is 3 inches tall with a radius of 1.5 inches, what would be the volume?

Answer 1

The volume of the second spice container is approximately 21.2055 cubic inches.

Step-by-step explanation:

To find the volume of the second spice container, we can use the same formula as before:

V = πr²h

First, calculate the volume of the second spice container with the given measurements: V = 3.142 × (1.5 in)² × 3 in = 21.2055 cubic inches

So, the volume of the second spice container is approximately 21.2055 cubic inches.

Answer 2

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch