Question

Help me with this question please

Answer 1

Given:

Handle

• Height= 4 in
• Diameter= 1 in

Main body

• Height= 14 in
• Diameter= 3 in

To find:

The total amount of wood needed to build the rolling pin.

Solution:

`\huge\boxed{\sf{Formula: \pi {r}^(2) h}}`

`\huge\boxed{\sf{\red\pi \red= \red3\red.\red1\red4}}`

Handle:

`V = 3.14 * {0.5}^(2) * 4`

`V = 3.14 \: {in}^(3)`

`\boxed{\sf{V = 3.2 \: {in}^(3) }}`

Main body:

`V = 3.14 * {1.5}^(2) * 14`

`V = 98.91 \: {in}^(3)`

`\boxed{\sf{V = 99 \: {in}^(3) }}`

Total:

`V = 3.2+99`

`\large\boxed{\sf{V = 102.2 \: {in}^(3) }}`

Hence, the total amount of wood needed to build the rolling pin is 102.2 cubic inches.