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Jerry is building a sandcastle. He has a plastic cone that is 7 inches tall with a radius of 4.6 inches that he will use for part of the sandcastle. What is the volume of the cone?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
Jerry also has a plastic cylinder to use for building the sandcastle. The cylinder has the same radius and the same height as the cone. What is the volume of the cylinder?
Use ​≈3.14 and round your answer to the nearest whole number.
cubic inches
Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
times the volume of the cone.

Answer :

Xaxarolus

Answer:

155in³, 465in³

The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.

Step-by-step explanation:

Formula: πr²[tex]\frac{h}{3}[/tex]

Given: π = 3.14, r = 4.6, h = 7

Sub: 3.14(4.6)²[tex]\frac{7}{3}[/tex]

SImplify: 3.14(21.16)[tex]\frac{7}{3}[/tex]

Simplify: (66.4424)[tex]\frac{7}{3}[/tex]

Solve: 155

The volume of the cone is 155in³

Formula: (πr²)h

Given: π = 3.14, r = 4.6, h = 7

Sub: (3.14(4.6²))7

Simplify: (3.14(21.16))7

Simplify: (66.4424)7

Solve: 465

The volume of the cylinder is 465.

Since the last term of the cone is 1/3 of the last term of the cylinder, we can say:

The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.

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