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KonstantinChe [14]
3 years ago
8

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

The volume of the cylinder is 900 cubic inches

<em />

Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

V_1 = 300in^3

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

V_1 = \frac{1}{3}\pi r^2h

The volume of a cylinder is calculated as:

V_2 = \pi r^2h

Since, the cone and cylinder have the same dimensions, we can substitute \pi r^2h for V_2 in V_1 = \frac{1}{3}\pi r^2h

So, we have:

V_1 = \frac{1}{3} * V_2

Multiply both sides by 3

3 * V_1 = \frac{1}{3} * V_2 * 3

3 * V_1 = V_2

V_2 = 3 * V_1

Substitute 300in^3 for V_1

V_2 = 3 * 300in^3

V_2 = 900in^3

<em>Hence, the volume of the cylinder is 900 cubic inches</em>

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Step-by-step explanation:

thanks for the points

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