Multiple Choice Question

Question

An engineer is designing a cylinder-shaped structure using the formula shown below. As shown, an approximation of 22/7 for 3.15 is used in the formula.

Answer 1

The volume of the cylinder is given by the formula: V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.

The engineer is using the approximation of 22/7 for the value of π.

Now, let's consider the multiple-choice question:

Which of the following correctly represents the use of the formula and approximation for the given cylinder?

A) V = (22/7)(3.15)^2h
B) V = (22/7)(3.15)(3.15)h
C) V = (22/7)(3.15^2)h
D) V = (22/7)(3.15)(3.15)(3.15)

To find the correct representation, we need to remember that the radius is represented by r in the formula.

Option A incorrectly uses the formula with (3.15)^2 as the radius.

Option B correctly multiplies the radius (3.15) with itself to get the square of the radius.

Option C correctly uses (3.15^2) as the radius.

Option D incorrectly cubes the value of the radius.

Therefore, the correct answer is:

C) V = (22/7)(3.15^2)h