Question

Please answer the first question

Answer 1

12 inches

Explanation:

Given

• Volume = 763 cubic inches
• Diameter = 9 inches ⇒ Radius = 9/2 inches

Formula for Volume of a Cylinder

• V = πr²h

Solving

• 763 = 3.14 x (9/2)² x h
• 763 = 3.14 x 81/4 x h
• 763 = 3.14 x 20.25 x h
• 763 = 63.585h
• h = 11.99 ≅ 12 inches

Answer 2

The height is 12 inches

Explanation:

Step 1: Determine the knowns a formula

`Volume = 764\ in^3`

`Diameter = 9\ in`

`Formula: V = \pi r^2h`

Step 2: Input the values and solve

`V = \pi r^2h`

`764\ in^3 = \pi (9/2\ in)^2h`

`764\ in^3 = \pi (20.25\ in^2)h`

`764\ in^3 =63.617\ in^2 * h`

`(764\ in^3)/(63.617\ in^2) = (63.617\ in^2 * h)/(63.617\ in^2)`

`12.0\ in = h`

Answer: The height is 12 inches