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100 Points! Multiple choice Geometry question. Photo attached. Thank you!

100 Points! Multiple choice Geometry question. Photo attached. Thank you!-example-1
asked
User Floby
by
8.8k points

1 Answer

6 votes

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

  • r is the radius of the base
  • h is the height of the cylinder

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

  • r is the radius of the base
  • h is the height of the cylinder

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²

answered
User Pablobm
by
8.2k points

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