Respuesta :

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:

[tex]\huge\boxed{\sf{Formula: \pi {r}^{2} h}}[/tex]

[tex]\huge\boxed{\sf{\red\pi \red= \red3\red.\red1\red4}}[/tex]

Handle:

[tex]V = 3.14 \times {0.5}^{2} \times 4[/tex]

[tex]V = 3.14 \: {in}^{3} [/tex]

[tex]\boxed{\sf{V = 3.2 \: {in}^{3} }}[/tex]

Main body:

[tex]V = 3.14 \times {1.5}^{2} \times 14[/tex]

[tex]V = 98.91 \: {in}^{3} [/tex]

[tex]\boxed{\sf{V = 99 \: {in}^{3} }}[/tex]

Total:

[tex]V = 3.2+99 [/tex]

[tex]\large\boxed{\sf{V = 102.2 \: {in}^{3} }}[/tex]

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

ACCESS MORE
EDU ACCESS