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All dimensions of a cylinder are multiplied by 1.5. Which statement is true?

A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.

B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.

C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.

D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.

All dimensions of a cylinder are multiplied by 1.5. Which statement is true? A. The-example-1

2 Answers

3 votes

Answer:

B

Explanation:

User Fuxia
by
5.1k points
0 votes

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

User Radha
by
4.6k points
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