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Mr. Riley bought 2 cans of paint to paint his garage. Each can had a radius of 5.5 inches and a height of 8 inches. How many cubic inches of paint did he buy in all?

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Mr. Riley bought 2 cans of paint to paint his garage. Each can had a radius of 5.5 inches and a height of
8 inches. How many cubic inches of paint did he buy in all?

Mr. Riley bought 2 cans of paint to paint his garage. Each can had a radius of 5.5 inches and a height of 8 inches. How many cubic inches of paint did he buy in all?

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XavierMaster · Tutor for 5 years

Answer

### 1520.64 cubic inches

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## Step1: Calculate the volume of one paint can<br />### The formula for the volume of a cylinder is $V = \pi r^2 h$, where \( r \) is the radius and \( h \) is the height. For one can, the radius \( r = 5.5 \) inches and the height \( h = 8 \) inches. Calculate the volume using these values.<br />\[ V = \pi (5.5)^2 (8) \]<br />\[ V = \pi (30.25) (8) \]<br />\[ V = \pi (242) \]<br />\[ V \approx 760.32 \text{ cubic inches} \]<br />## Step2: Calculate the total volume for two cans<br />### Multiply the volume of one can by 2 to find the total volume for both cans.<br />\[ V_{\text{total}} = 2 \times 760.32 \text{ cubic inches} \]<br />\[ V_{\text{total}} \approx 1520.64 \text{ cubic inches} \]
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