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:

$V = 3.14 \times {0.5}^{2} \times 4$

$V = 3.14 \: {in}^{3}$

$\boxed{\sf{V = 3.2 \: {in}^{3} }}$

Main body:

$V = 3.14 \times {1.5}^{2} \times 14$

$V = 98.91 \: {in}^{3}$

$\boxed{\sf{V = 99 \: {in}^{3} }}$

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.