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Chapter 7: Problem 5

If the volume of a right circular cylinder is given as 50 cubic centimeters and if its radius measures 2 centimeters, calculate its height.

Short Answer

Expert verified
Answer: The height of the right circular cylinder is approximately 3.98 centimeters.

Step by step solution

01

Write down the given information.

We are given the volume V of the right circular cylinder as 50 cubic centimeters (cm鲁), and its radius r as 2 centimeters (cm).
02

Write the formula for the volume of a cylinder.

The formula for the volume of a right circular cylinder is V = 蟺r虏h, where V is the volume, r is the radius, and h is the height.
03

Plug in the given values into the formula.

We have V = 50 cm鲁, and r = 2 cm. We can substitute these values into the formula: 50 = 蟺(2)虏h
04

Simplify the equation.

We can simplify the equation by performing the exponent and multiplication operations: 50 = 4蟺h
05

Solve for the height h.

Divide both sides of the equation by 4蟺 to isolate the variable h: h = \frac{50}{4\pi}
06

Calculate the height.

Calculate the height of the right circular cylinder: h 鈮� \frac{50}{4\pi} 鈮� 3.98 cm The height of the right circular cylinder is approximately 3.98 centimeters.

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