Question

The can of peas below has a surface area of 180.64 cm^2. If the diameter of the can is 5 inches, find the height of the can.​

Answer 1

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The height of the can is 9 in..

Step-by-step explanation:

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The can of peas below has a surface area of 180.64 cm^2. If the diameter of the can is 5 inches.

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Height of the can??

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we know that

The surface area of the cylinder (can of peas) is equl to

SA=2\pi r^{2}+2\pi rh

we have

SA=180.64\ in^{2}

r=5/2=2.5\ in ----> the radius is half the diameter

assume

\pi=3.14

substitute and solve for h

180.64=2(3.14)(2.5)^{2}+2(3.14)(2.5)h

180.64=39.25+15.70h

h=[180.64-39.25]/15.70

h=9\ in.

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