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makvit [3.9K]
3 years ago
5

A tin man has a head that is a cylinder with a cone on top .The height of the cylinder is 12 inches and the height of the cone i

s 6 inches. The radius of both the cylinder and the cone is 4 inches.What is the volume of the tin man's head in terms of pit?
Mathematics
2 answers:
faust18 [17]3 years ago
8 0

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

Data

Cylinder                      Cone

height = 12 in              height = 6 in

radius = 4 in                radius = 4 in

Volume = x                 Volume = y

Process

1.- Calculate the volume of the Cylinder

V = πr²h

V =  π (4)²(12)

V =  π(16)(12)

V = 192 π

2.- Calculate the volume of the Cone

V = 1/3  πr²h

V = 1/3  π(4)²(6)

V = 1/3  π(16)(6)

V = 96/3  π

V = 32 π

3.- Calculate the volume of the head

Volume = 192 π + 32 π

Volume = 224 π in³

Vikki [24]3 years ago
3 0

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

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