The total surface area of the cake is the sum of the area of the top and the area of the sides.
The area of the top is a circle with a radius of 5 inches, so the area is 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches.
The area of the sides is a rectangle with a base circumference equal to the circumference of the top circle, which is 2 * 3.14 * 5 = 31.4 inches.
The height of the cylinder is 7 inches, so the area of the sides is 31.4 * 7 = 219.8 square inches.
Therefore, the total area of the cake is 78.5 + 219.8 = 298.3 square inches.
To round to the nearest tenth, it becomes 298.3 square inches. Answer: \boxed{298.3}.
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 needed to cover the sides and the top of the cake? Use 3.14 for pi and round your answer to the nearest tenth.
9 answers
A silo is a large cylinder container that holds hay. A farmer needs to refinish the side of the silo 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.
The surface area of the silo that needs to be refinished is the area of the sides, excluding the top and bottom.
The area of the sides is a rectangle with a base circumference equal to the circumference of the top circle, which is 2 * 3.14 * 4 = 25.12 feet.
The height of the silo is 30 feet, so the area of the sides is 25.12 * 30 = 753.6 square feet.
Therefore, the farmer needs to refinish approximately 753.6 square feet of the silo.
Rounding to the nearest tenth, the answer is \boxed{753.6} square feet.
The area of the sides is a rectangle with a base circumference equal to the circumference of the top circle, which is 2 * 3.14 * 4 = 25.12 feet.
The height of the silo is 30 feet, so the area of the sides is 25.12 * 30 = 753.6 square feet.
Therefore, the farmer needs to refinish approximately 753.6 square feet of the silo.
Rounding to the nearest tenth, the answer is \boxed{753.6} square feet.
Find the surface area of a cylinder with a height of 4 yards and a radius of 2 yards. Use 3.14 for pi and round to the nearest hundredth.
The surface area of a cylinder is given by the formula:
Surface Area = 2πr^2 + 2πrh
where r is the radius of the cylinder and h is the height.
Substituting the given values, we have:
Surface Area = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 4
Surface Area = 12.56 + 50.24
Surface Area = 62.8 square yards
Rounding to the nearest hundredth, the surface area of the cylinder is approximately \boxed{62.8} square yards.
Surface Area = 2πr^2 + 2πrh
where r is the radius of the cylinder and h is the height.
Substituting the given values, we have:
Surface Area = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 4
Surface Area = 12.56 + 50.24
Surface Area = 62.8 square yards
Rounding to the nearest hundredth, the surface area of the cylinder is approximately \boxed{62.8} square yards.
Find the surface area of a cylinder with a height of 4 yards and a radius of 2 yards. Use 3.14 for pi and round to the nearest tenth.
The surface area of a cylinder is given by the formula:
Surface Area = 2πr^2 + 2πrh
where r is the radius of the cylinder and h is the height.
Substituting the given values, we have:
Surface Area = 2 * 3.14 * (2)^2 + 2 * 3.14 * 2 * 4
Surface Area = 2 * 3.14 * 4 + 2 * 3.14 * 2 * 4
Surface Area = 25.12 + 50.24
Surface Area = 75.36 square yards
Rounding to the nearest tenth, the surface area of the cylinder is approximately \boxed{75.4} square yards.
Surface Area = 2πr^2 + 2πrh
where r is the radius of the cylinder and h is the height.
Substituting the given values, we have:
Surface Area = 2 * 3.14 * (2)^2 + 2 * 3.14 * 2 * 4
Surface Area = 2 * 3.14 * 4 + 2 * 3.14 * 2 * 4
Surface Area = 25.12 + 50.24
Surface Area = 75.36 square yards
Rounding to the nearest tenth, the surface area of the cylinder is approximately \boxed{75.4} square yards.
thats wrong
Apologies for the mistake. Let's calculate the surface area correctly.
Surface Area = 2πr^2 + 2πrh
Substituting the given values:
Surface Area = 2 * 3.14 * (2)^2 + 2 * 3.14 * 2 * 4
Surface Area = 2 * 3.14 * 4 + 2 * 3.14 * 2 * 4
Surface Area = 25.12 + 50.24
Surface Area = 75.36 square yards
Rounding to the nearest tenth, the surface area of the cylinder is approximately 75.4 square yards.
I apologize for the previous incorrect response.
Surface Area = 2πr^2 + 2πrh
Substituting the given values:
Surface Area = 2 * 3.14 * (2)^2 + 2 * 3.14 * 2 * 4
Surface Area = 2 * 3.14 * 4 + 2 * 3.14 * 2 * 4
Surface Area = 25.12 + 50.24
Surface Area = 75.36 square yards
Rounding to the nearest tenth, the surface area of the cylinder is approximately 75.4 square yards.
I apologize for the previous incorrect response.
1 answer