Question

1. beth has a can of corn that is 3.5 inches high and has a diameter of 5 inches. find the volume of the can to the nearest tenth.

a. 192.4 in.³
b. 68.7 in.³
c. 274.9 in.³
d. 55.0 in.³

1. chris has a cone with a radius of 5 inches and a height of 12 inches. what is the approximate volume of the cone?

a. 377.00 in.³
b. 188.50 in.³
c. 942.48 in.³
d. 314.16 in.³

Explanation:

Step1: Find the radius of the can

The diameter of the can is \(d = 5\) inches. The radius \(r=\frac{d}{2}=\frac{5}{2}=2.5\) inches. The height of the can \(h = 3.5\) inches.

Step2: Use the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 2.5\) and \(h=3.5\) into the formula:

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Step1: Use the formula for the volume of a cone

The formula for the volume of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Given \(r = 5\) inches and \(h = 12\) inches.

Step2: Substitute the values into the formula

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Answer:

B. \(68.7\) in.\(^{3}\)