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vlada-n [284]
2 years ago
3

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:

Mathematics
2 answers:
SashulF [63]2 years ago
6 0

The volume of the silo is (π×2²×8.5+ \frac{1}{3}×π×2²×(13-8.5)) cube ft.

Step-by-step explanation:

Given,

The silo consists of a cylinder and a cone.

The diameter of the silo = 4 ft

The length of the cylindrical part = 8.5 ft

The entire length of the silo = 13 ft.

To find the volume of the silo.

The volume of the silo = the volume of cylinder + the volume of the cone

Formula

r be the radius and h be the height

  • The volume of cylinder = πr²h
  • The volume of cone = \frac{1}{3}πr²h

Now,

The radius of the cylinder = 2 ft.

Height = 8.5 ft

Volume = π×2²×8.5 cube ft

Again,

The radius of the cone = 2 ft

Height = 13-8.5 = 4.5 ft

Volume =  \frac{1}{3}×π×2²×4.5 cube ft

Hence,

The volume of the silo = (π×2²×8.5+ \frac{1}{3}×π×2²×(13-8.5)) cube ft.

The correct option is B.

Fofino [41]2 years ago
4 0

Answer:

the answer is B

Step-by-step explanation:

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