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4 points

3. The area of the base of a can is 45 square inches. Its height is 12 inches. If 1/3 of the

height is cut off, what will be the volume of the can?*

a) 540 cubic inches

b)180 cubic inches

c) 280 cubic inches

d) 360 cubic inches

Respuesta :

Answer:

The correct answers is D

D) 360 cubic inches

Step-by-step explanation:

We know that the Area of the base of the can is given by

A = 45 inch²

Initial height of the can = 12 inches

Fraction of height cut off = 1/3

Calculate the final height after cutting off:

Find 1/3 of 12 inches:

[tex]\frac{1}{3}\cdot12=4[/tex]

Subtract the answer from 12 to get final height:

Final height = 12- 4 = 8 inches

Can is a form of cylinder, so:

Volume = (Area)(height)

[tex]V=45\cdot8\\V=360inch^3[/tex]

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