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Find the volume of the large solid without the smaller solid. The solid is a right and not drawn to scale. Round answers to the tenths place A. 310.86 in
B. 2210.56 in
C. 2521.42 in
D. 1899.7 in

Find the volume of the large solid without the smaller solid The solid is a right and not drawn to scale Round answers to the tenths place A 31086 in B 221056 i class=

Respuesta :

Answer:

1900.66

I don't see the answer there in the list of options, maybe I got the values wrong...

Step-by-step explanation:

This pic is blurry so I'm going to assume the numbers given are 3, 8, and 11.

Volume of larger cylinder:

π*r^2*h

(π)(64)(11) = 704π

Volume of smaller cylinder:

π*r^2*h

(π)(9)(11) = 99π

Subtract the two answers together:

704π - 99π = 605π

Simplify:

605π ≈ 1900.66

The volume of large solid without the smaller solid is 1899.7 cubic in option (D) 1899.7 in is correct.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

Volume of larger cylinder:

[tex]\rm V = \pi (8)^2 \times 11[/tex]

V = 704π cubic in

Volume of smaller cylinder:

[tex]\rm v = \pi (3)^2 \times 11[/tex]

v = 99π cubic in

The volume of large solid without the smaller solid = V - v

= 704π - 99π = 605π = 1899.7 cubic in   (π = 3.14)

Thus, the volume of large solid without the smaller solid is 1899.7 cubic in option (D) 1899.7 in is correct.

Learn more about the cylinder here:

brainly.com/question/3216899

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