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 a cone is given by the formula:
Surface Area = πr(r + l)
where r is the radius of the base of the cone and l is the slant height.
Given the diameter (d) of the base of the cone is 14 inches, we can calculate the radius (r) by dividing the diameter by 2:
r = d/2 = 14/2 = 7 inches
Plugging in the values of r = 7 inches and l = 20 inches into the formula, we get:
Surface Area = π(7)(7 + 20) = 3.14 * 7 * 27
Calculating this, we get:
Surface Area = 3.14 * 7 * 27 = 592.86
Rounding this to the nearest hundredth, the surface area of the cone peak is approximately 592.86 square inches.
Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth the height is 13mm the radius is 8mm
The formula for the volume of a cylinder is given by:
Volume = πr^2h
where r is the radius of the circular base, and h is the height of the cylinder.
Given that the radius (r) is 8 mm and the height (h) is 13 mm, we can calculate the volume as follows:
Volume = π(8^2)(13) = π(64)(13) = 832π
To find the numerical value of the volume, we substitute the value of π as 3.14:
Volume ≈ (3.14)(832) = 2619.68
Rounding this to the nearest hundredth, the volume of the cylinder is approximately 2619.68 cubic millimeters.
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 for the volume of a cylinder is given by:
Volume = π * r^2 * h
where r is the radius of the circular base, and h is the height of the cylinder.
Given that the radius (r) is 4 inches and the height (h) is 16 inches, we can calculate the volume as follows:
Volume = 3.14 * (4^2) * 16
= 3.14 * 16 * 16
= 803.84 cubic inches
Therefore, the volume of the water bottle is 803.84 cubic inches.
A cone-shaped container on a farm is used for storing animal feed. The container has a radius of 4 feet and a height of 12 feet. What volume of feed, in cubic feet, can the container store? Round your answer to the nearest hundredth. Use 3.14 for . (1 point)
The formula for the volume of a cone is given by:
Volume = (1/3) * π * r^2 * h
where r is the radius of the base of the cone, and h is the height of the cone.
Given that the radius (r) is 4 feet and the height (h) is 12 feet, we can calculate the volume as follows:
Volume = (1/3) * 3.14 * (4^2) * 12
= (1/3) * 3.14 * 16 * 12
= (1/3) * 3.14 * 192
= 201.06 cubic feet
Therefore, the container can store approximately 201.06 cubic feet of feed, rounded to the nearest hundredth.