Respuesta :

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Answer:

1. The height of the cylinder is 4ft - True

2. The area of the base is equal to π(4^2) - False

The area of the base = π × r^2

r = d ÷ 2

r = 4 ÷ 2 = 2

Area of the base is = π(2^2)

3. The volume of the cylinder is 31.4 ft^3 - False

V=πr2h

π = 3.14159

r = 2

h = 4

V = 3.14159 × 2^2 × 4

= 3.14159 × 16

V = 50.26544

Problem 9

Answer: False

Reason:

The height of the cylinder is 2.5 ft. It's misleading because the cylinder is tipped onto its side, so it appears that 4 ft is the height. The height of any cylinder is always perpendicular to the circular base. It might help to rotate the paper so that the circular base is horizontal.

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Problem 10

Answer: False

Reason:

The diameter of the base is 4 feet, which divides in half to 2 feet and it's the radius of the circle.

Area = pi*(radius)^2 = pi(2)^2 = 4pi

So the area expression should be either pi(2^2) or pi(4) or 4pi

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Problem 11

Answer: True

Reason:

V = pi*r^2*h

V = 3.14*2^2*2.5

V = 31.4 cubic feet

This volume is approximate since pi = 3.14 is approximate.

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