Adrian is painting the outside of a cylinder that he plans to use as a coffee table. The cylinder has a radius of 4 feet and a height of 3 feet. Adrian wants to paint all around the outside of the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface are of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.(1 point) GIVE A RIGHT ANSWER!!
The formula for the surface area of a cylinder is given by:
Surface area = 2πr^2 + 2πrh, where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the values r = 4 feet and h = 3 feet into the formula, we have:
Surface area = 2(3.14)(4^2) + 2(3.14)(4)(3)
Surface area = 2(3.14)(16) + 2(3.14)(4)(3)
Surface area = 2(50.24) + 2(3.14)(4)(3)
Surface area = 100.48 + 75.36
Surface area = 175.84
Therefore, the surface area of the cylinder is approximately 175.84 square feet.
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) GIVE AN RIGHT ANSWER
The formula for the surface area of a cone is given by:
Surface area = πr(r + h), where r is the radius of the base of the cone and h is the slant height of the cone.
Since we are given the diameter of the base, we can find the radius by dividing the diameter by 2:
Radius = diameter/2 = 14 inches / 2 = 7 inches
Now we can plug in the values r = 7 inches and h = 20 inches into the formula to find the surface area:
Surface area = 3.14(7)(7 + 20)
Surface area = 3.14(7)(27)
Surface area = 3.14(189)
Surface area = 593.46
Therefore, the surface area of the cone peak is approximately 593.46 square inches.
Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth RADIUS IS 8 MM AND HIEGHT IS 13MM
GIVE AN CORRECT ANSWER
The formula for the volume of a cylinder is given by:
Volume = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the values r = 8 mm and h = 13 mm into the formula, we have:
Volume = 3.14(8^2)(13)
Volume = 3.14(64)(13)
Volume = 3.14(832)
Volume = 2614.08
Therefore, the volume of the cylinder is approximately 2614.08 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)
GIVE A CORRECT ANSWER
The formula for the volume of a cylinder is given by:
Volume = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the values r = 4 inches and h = 16 inches into the formula, we have:
Volume = 3.14(4^2)(16)
Volume = 3.14(16)(16)
Volume = 3.14(256)
Volume = 804.64
Therefore, the volume of the water bottle is approximately 804.64 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)
GIVE AN CORRECT ANSWER
The formula for the volume of a cone is given by:
Volume = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone.
Plugging in the values r = 13 inches and h = 27 inches into the formula, we have:
Volume = (1/3)π(13^2)(27)
Volume = (1/3)π(169)(27)
Volume = (1/3)(3.14)(169)(27)
Volume = 3.14(56.333)(27)
Volume = 3.14(1522.41)
Volume = 4782.2674
Therefore, the volume of the cone is approximately 4782.27 cubic inches.