Question

If the dimensions of the following cylinder are tripled, what will be the volume of the new cylinder?

15,260.4 cm 3
61,041.6 cm 3
183,124.8 cm 3
45,781.2 cm 3
Radius 12cm Height 15cm

Answer 1

Hi,

-The correct answer should be "option 4," 45,781.2 cm ^3.

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Answer 2

• C) 183,124.8 cm^3.

Explanation:

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

The current volume of the cylinder is:

V = π(12cm)^2(15cm)

V = π(144cm^2)(15cm)

V = 2160π cm^3

If the dimensions of the cylinder are tripled, then the new cylinder will have a radius of 3(12cm) = 36cm and a height of 3(15cm) = 45cm.

The new volume of the cylinder is:

V = π(36cm)^2(45cm)

V = π(1296cm^2)(45cm)

V = 58320π cm^3

Simplifying the expression, we get:

V ≈ 183,124.8 cm^3

Therefore, the volume of the new cylinder, when the dimensions are tripled, is approximately 183,124.8 cm^3.

The answer is C) 183,124.8 cm^3.