Find the surface area of a cylinder with a height of 12 meters and a diameter of 14 meters. Use 3.14 for π and round to the nearest tenth.(1 point) ____meters^2
To find the surface area of a cylinder, we need to find the sum of the areas of the two bases and the lateral surface area.
The area of a circle is given by the formula A = πr^2, where r is the radius. Since the diameter is given, we can find the radius by dividing the diameter by 2.
The radius is 14/2 = 7 meters.
The area of the two bases is:
A = π(7^2) = 49π meters^2
The lateral surface area of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height.
The lateral surface area is:
A = 2π(7)(12) = 168π meters^2
So, the total surface area of the cylinder is:
49π + 168π = 217π meters^2
Rounded to the nearest tenth, the surface area is approximately:
217π ≈ 680.4 meters^2
Eli is making a model castle out of clay. One of the roof peaks is in the shape of a cone with a diameter of 14 inches and a slant height of 20 inches. What is the surface area of the cone peak? Round your answer to the nearest hundredth. Use 3.14 for pi.(1 point) ___square inches
Use 8th grade math to solve this question
To find the surface area of the cone, we need to find the lateral surface area. The formula for the lateral surface area of a cone is A = πrl, where r is the radius and l is the slant height.
We are given the diameter of the cone, so we need to find the radius by dividing the diameter by 2.
The radius is 14/2 = 7 inches.
The lateral surface area of the cone is:
A = π(7)(20) ≈ 439.82 square inches.
Therefore, the surface area of the cone peak is approximately 439.82 square inches when rounded to the nearest hundredth.
What is the volume of a cylinder with a base radius of 8 in. and a height of 40 in.?(1 point) __π in.^3
Use 8th grade math to sole and answer this question
The formula to find the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the radius is 8 inches and the height is 40 inches, we can substitute these values into the formula:
V = π(8^2)(40)
= π(64)(40)
= 2560π cubic inches
Therefore, the volume of the cylinder is 2560π cubic inches.
Find the volume, in cubic inches, of a cone with a radius of 13 inches and a height of 27 inches. Round your answer to the nearest hundredth. Use 3.14 for pi.(1 point) ____cubic inches
To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the radius is 13 inches and the height is 27 inches, we can substitute these values into the formula:
V = (1/3)π(13^2)(27)
= (1/3)π(169)(27)
= (1/3)π(4563)
= 1521π cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 1521π cubic inches.
Find the volume of a sphere with a radius 1.1 ft. Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point) Responses
5.57 ft.^3
13.82 ft.^3
16.72 ft.^3
15.2 ft.^3
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius.
Given that the radius is 1.1 ft, we can substitute this value into the formula:
V = (4/3)π(1.1^3)
= (4/3)π(1.331)
= (1.774)π ft^3
Rounded to the nearest hundredth, the volume of the sphere is approximately 5.57 ft^3.
Therefore, the correct answer is 5.57 ft^3.