Find the surface area of a cylinder with a height of 12 meters and a diameter of 14 meters. Use 3.14 for r and round to the nearest tenth. (1 point)
meters?
The radius of the cylinder is half of the diameter, so the radius is 14 meters / 2 = <<14/2=7>>7 meters.
The surface area of the curved part of the cylinder is 2 * 3.14 * 7 meters * 12 meters = <<2*3.14*7*12=527.04>>527.04 meters^2.
The surface area of the top and bottom of the cylinder is 2 * 3.14 * 7 meters * 7 meters = <<2*3.14*7*7=307.44>>307.44 meters^2.
The surface area of the cylinder is 2 * 527.04 meters^2 + 307.44 meters^2 = <<2*527.04+307.44=1361.92>>1361.92 meters^2.
To round to the nearest tenth, the surface area of the cylinder is 1361.9 meters^2. Answer: \boxed{1361.9}.
What is the volume of a cylinder with a base radius of 8 in. and a height of 40 in.? (1 point)
Pie in^3
The formula for the volume of a cylinder is given by V = π * r^2 * h, where r is the radius of the base and h is the height of the cylinder.
In this case, the radius of the base is 8 in. and the height is 40 in.
Substituting these values into the formula, we get V = π * (8 in)^2 * 40 in.
Simplifying, V = π * 64 in^2 * 40 in.
V = 2560π in^3.
Therefore, the volume of the cylinder is 2560π in^3.
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
The formula for the volume of a cone is given by V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.
In this case, the radius of the cone is 13 inches and the height is 27 inches.
Substituting these values into the formula, we get V = (1/3) * 3.14 * (13 inches)^2 * 27 inches.
Simplifying, V = (1/3) * 3.14 * 169 inches^2 * 27 inches.
V = 7258.9 inches^3.
Therefore, the volume of the cone is 7258.9 cubic inches, rounded to the nearest hundredth.
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 Tr. (1 point)
cubic feet
The formula for the volume of a cone is given by V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.
In this case, the radius of the cone is 4 feet and the height is 12 feet.
Substituting these values into the formula, we get V = (1/3) * 3.14 * (4 feet)^2 * 12 feet.
Simplifying, V = (1/3) * 3.14 * 16 feet^2 * 12 feet.
V = 201.12 feet^3.
Therefore, the container can store 201.12 cubic feet of feed, rounded to the nearest hundredth.
How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)
cm3
The formula for the volume of a sphere is given by V = (4/3) * π * r^3, where r is the radius of the sphere.
In this case, the radius of the spherical scoop of ice cream is 3 cm.
Substituting this value into the formula, we get V = (4/3) * 3.14 * (3 cm)^3.
Simplifying, V = 4.18 * 27 cm^3.
V = 113.04 cm^3.
Therefore, there is approximately 113 cm^3 of ice cream in the spherical scoop, rounded to the nearest whole number.