Multiple Choice 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.
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