find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm use the approximation of 3.14 for pi.
The formula to calculate the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh
where r is the radius and h is the height.
To calculate the surface area, substitute the given values into the formula:
Surface Area = 2 * 3.14 * (4 cm)² + 2 * 3.14 * (4 cm)(2 cm)
Surface Area = 2 * 3.14 * 16 cm² + 2 * 3.14 * 8 cm²
Surface Area = 100.48 cm² + 50.24 cm²
Surface Area = 150.72 cm²
Therefore, the surface area of the cylinder is approximately 150.72 cm².
find the surface area of a cylinder with a diameter of 12 in and a height of 10 inches use the approximation of 3.14 for pi
To find the surface area of a cylinder, we can use the formula:
Surface Area = 2πrh + 2πr^2
Given that the diameter is 12 inches, we can determine the radius by dividing it by 2:
Radius (r) = 12 in / 2 = 6 in
Substituting the given values into the formula, we get:
Surface Area = 2 * 3.14 * 6 in * 10 in + 2 * 3.14 * (6 in)^2
Surface Area = 376.8 in² + 226.08 in²
Surface Area = 602.88 in²
Therefore, the surface area of the cylinder is approximately 602.88 square inches.
A baker needs to cover a cylinder cake with icing. The cake has a radius of 5 inches and a height of 7 inches. How many square inches of icing will be needed to cover the sides and top of the cake? Icing will not be added to the bottom of the cake. Use 3.14 for pi and round your answer to the nearest tenth.
To find the surface area of the sides and top of the cylinder cake, we can use the formula:
Surface Area = 2πrh + πr^2
Given that the radius is 5 inches and the height is 7 inches, we can substitute these values into the formula:
Surface Area = 2 * 3.14 * 5 in * 7 in + 3.14 * (5 in)^2
Surface Area = 6.28 * 5 in * 7 in + 3.14 * 25 in^2
Surface Area = 219.8 in^2 + 78.5 in^2
Surface Area = 298.3 in^2
Therefore, approximately 298.3 square inches of icing will be needed to cover the sides and top of the cake.
A silo is a large cylinder container that holds hay. A farmer needs to refinish the side of the silo with aluminum. The silo has a radius of 4 feet and a height of 30 feet. How many square feet of aluminum does the farmer need to refinish the silo? He will not be refinishing the top or bottom of the silo. Use 3.14 for pi and round your answer to the nearest tenth.
To find the surface area of the side of the silo, we can use the formula:
Surface Area = 2πrh
Given that the radius is 4 feet and the height is 30 feet, we can substitute these values into the formula:
Surface Area = 2 * 3.14 * 4 ft * 30 ft
Surface Area = 6.28 * 4 ft * 30 ft
Surface Area = 753.6 ft^2
Therefore, approximately 753.6 square feet of aluminum is needed to refinish the side of the silo.
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it is based on facts that cannot be refuted