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.
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 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.
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.
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.
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.
To find the surface area of the cake that needs to be covered with icing, we need to calculate the lateral surface area of the cylinder and the area of the top circle.
The lateral surface area of a cylinder can be calculated using the formula: Lateral Surface Area = 2πrh, where π (pi) is approximately 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, the radius (r) is given as 5 inches and the height (h) is given as 7 inches.
Lateral Surface Area = 2 * 3.14 * 5 * 7 = 219.8 square inches (rounded to the nearest tenth).
The area of the top circle can be calculated using the formula: Area = πr^2, where π (pi) is approximately 3.14 and r is the radius of the circle.
In this case, the radius (r) is given as 5 inches.
Area = 3.14 * 5^2 = 78.5 square inches.
Now, to find the total surface area that needs to be covered with icing, we add the lateral surface area and the top circle area:
Total Surface Area = Lateral Surface Area + Area of Top Circle = 219.8 + 78.5 = 298.3 square inches (rounded to the nearest tenth).
Therefore, approximately 298.3 square inches of icing will be needed to cover the sides and the top of the cake.