Question

Can someone help me with this?

Answer 1

87.9 in³ OR 88.0 in³

Explanation:

Concepts

The volume of a cylinder is
`\pi r^2h`, where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

• 
  `3.14*2^2*7`
• 
  `3.14*4*7`
• 
  `3.14*28`
• 
  `87.92`
• 
  `87.9`

2:

• 
  `\pi *2^2*7`
• 
  `\pi *4*7`
• 
  `28\pi`
• 
  `87.9645943005...`
• 
  `88.0`

Answer 2

88.0 in^3 to nearest tenth.

Explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.