Adrian is painting the outside of a cylinder tire he plans to recycle as a planter. The tire has a radius of 4 feet and a height of 3 feet. In order to understand how much paint is needed, Adrian wants to know the surface area of the outside of the tire. How many square feet is the outside of the tire? Use 3.14 for pi and round your answer to the nearest tenth.(1 point)
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)
The surface area of the outside of the tire can be calculated by finding the lateral surface area of the cylinder.
The lateral surface area of a cylinder is given by the formula: A = 2πrh, where r is the radius and h is the height.
In this case, the radius (r) is 4 feet and the height (h) is 3 feet.
Plugging these values into the formula, we get:
A = 2 * 3.14 * 4 * 3
A = 75.36 square feet
Rounding this to the nearest tenth, we get:
A ≈ 75.4 square feet
Therefore, the surface area of the outside of the tire is approximately 75.4 square feet.
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)
To find the surface area of the cylinder, we need to calculate the lateral surface area and the two base areas.
The lateral surface area of the cylinder can be found using the formula A = 2πrh, where r is the radius and h is the height.
First, let's find the radius of the cylinder. The diameter is given as 14 meters, so the radius is half of that, which is 7 meters.
Now we can calculate the lateral surface area:
A = 2 * 3.14 * 7 * 12
A = 527.04 square meters
The base area of the cylinder can be found using the formula A = πr^2, where r is the radius.
Let's calculate the base area:
A_base = 3.14 * 7^2
A_base = 153.86 square meters
Since the cylinder has two bases, we need to multiply the base area by 2.
2 * 153.86 = 307.72 square meters.
Finally, let's add the lateral surface area and the two base areas to find the total surface area:
527.04 + 307.72 = 834.76 square meters.
Rounding this to the nearest tenth, the surface area of the cylinder is approximately 834.8 square meters.
To find the surface area of the cone peak, we need to calculate the curved surface area.
The formula to find the curved surface area of a cone is A = π * r * l, where r is the radius of the base and l is the slant height.
Given that the diameter of the cone is 14 inches, the radius will be half of that, which is 7 inches.
Plugging in the values, we get:
A = 3.14 * 7 * 20
A = 439.6 square inches
Rounding this to the nearest hundredth, the surface area of the cone peak is approximately 439.60 square inches.
A water bottle has a height of 16 inches and a radius of 4 inches. What is the volume, in cubic inches, of the water bottle? Use 3.14 for pi. (1 point)
The formula to calculate the volume of a cylinder is V = π * r^2 * h, where r is the radius of the base and h is the height.
Given that the height of the water bottle is 16 inches and the radius is 4 inches, we can calculate the volume as follows:
V = 3.14 * 4^2 * 16
V = 3.14 * 16 * 16
V = 3.14 * 256
V = 803.84 cubic inches
Therefore, the volume of the water bottle is 803.84 cubic inches.
The diameter of a sphere(1 point)
Responses
is the longest distance on a sphere.
is the longest distance on a sphere.
does not pass through the center of the sphere.
does not pass through the center of the sphere.
is the distance from the center of the sphere to any point on the surface of the sphere.
is the distance from the center of the sphere to any point on the surface of the sphere.
is half the length of the radius.