In the accompanying diagram, a right circular cone is carved out of a solid foam cylinder and discarded. What is the volume of the foam remaining in the cylinder?
A. 150π cubic units
B. 125π cubic units
C. 100π cubic units
D. 50π cubic units

In the accompanying diagram a right circular cone is carved out of a solid foam cylinder and discarded What is the volume of the foam remaining in the cylinderA class=

Respuesta :

Answer:

100π cubic units is left

Step-by-step explanation:

πr²h - 1/3πr²h

π(5)²(6) - 1/3π(5)²(6)

150π - 50π = 100π

The volume of the foam is 100π cubic units remaining in the cylinder.

Given,

Radius of cone (r) = 5

Height of cone (h) = 6

What is the volume of a cone?

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

To determine the volume of the foam remaining in the cylinder

Subtract the volume of the cone into the volume of the cylinder

⇒ πr²h - 1/3πr²h

Substitute the values of h and r,

⇒ π(5)²(6) - 1/3π(5)²(6)

⇒ 150π - 50π

⇒ 100π

Hence, The volume of the foam is 100π cubic units remaining in the cylinder.

Learn more about the volume of the cone here:

brainly.com/question/1578538

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