Question

1. in the cylinder below, the diameter of the circular base is equal to the height of the cylinder. what is the surface area of the cylinder, to the nearest square inch?

a. 57
b. 113
c. 170
d. 339

Explanation:

Step1: Find the radius and height

Given the diameter \(d = 6\) inches. The radius \(r=\frac{d}{2}=\frac{6}{2}=3\) inches. Since the diameter of the circular base is equal to the height of the cylinder, \(h = d=6\) inches.

Step2: Recall the formula for the surface area of a cylinder

The formula for the surface area of a cylinder \(S = 2\pi r^{2}+2\pi rh\).

Step3: Substitute the values of \(r\) and \(h\) into the formula

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Step4: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(S = 54\times3.14=169.56\approx170\) square inches.

Answer:

C. 170