Question

I’m confused please help?!

Answer 1

Explanation:

1) v=πr^2×h

v= π 1.5^2×3

v=21.205750411731

to 2dp v= 21.21

2) v=πr^2×h

v=π×1.5^2×3.5

v=24.740042147019

to 2 dp v= 24.74

Answer 2

1. 6.75π or 21.2 cubic inches (nearest tenth)

2. 7.875π or 24.7 cubic inches (nearest tenth)

Explanation:

The formula to find the volume of a cylinder is:

`\boxed{V=\pi r^2 h}`

where:

• r is the radius of the circular base.
• h is the height of the cylinder.

`\hrulefill`

Question 1

Given values:

• r = 1.5 inches
• h = 3 inches

Substitute the given values into the formula and solve for V:

`\begin{aligned}\implies V&=\pi r^2 h\\&=\pi \cdot 1.5^2 \cdot 3\\&= \pi \cdot 2.25 \cdot 3\\&=6.75 \pi \\&=21.2\; \sf in^3\;(nearest\;tenth)\end{aligned}`

Therefore, the volume of the cylinder is 6.75π or 21.2 cubic inches.

`\hrulefill`

Question 2

Given values:

• r = 1.5 inches
• h = 3.5 inches

Substitute the given values into the formula and solve for V:

`\begin{aligned}\implies V&=\pi r^2 h\\&=\pi \cdot 1.5^2 \cdot 3.5\\&= \pi \cdot 2.25 \cdot 3.5\\&=7.875\pi \\&=24.7\; \sf in^3\;(nearest\;tenth)\end{aligned}`

Therefore, the volume of the cylinder is 7.875π or 24.7 cubic inches.