Use the image to answer the question.
A cone is marked with a height of 15 centimeters and a diameter of 16 centimeters, both shown as perpendicular dotted lines. The slant height is 17 centimeters.
What is the height of the right circular cone?
(1 point)
Responses
15 cm
15 cm
8 cm
8 cm
17 cm
17 cm
16 cm
16 cm
The height of the right circular cone is 15 cm.
Use the image to answer the question.
An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
(1 point)
Responses
533.8 square centimeters
533.8 square centimeters
1,099 square centimeters
1,099 square centimeters
628 centimeters
628 centimeters
628 square centimeters
To find the surface area of the cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.
The area of each circular base can be calculated using the formula πr^2, where r is the radius.
So, the area of each circular base is approximately 3.14 * (5 cm)^2 = 78.5 cm^2.
The lateral surface area can be calculated using the formula 2πrh, where r is the radius and h is the height.
So, the lateral surface area is approximately 2 * 3.14 * 5 cm * 15 cm = 471 cm^2.
Adding the areas of the two circular bases and the lateral surface area, we get a total surface area of approximately 78.5 cm^2 + 78.5 cm^2 + 471 cm^2 = 628 cm^2.
Therefore, the surface area of the cylinder is approximately 628 square centimeters.
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)
Dont show your work
The surface area of the outside of the cylinder is approximately 150.7 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)
don't show your work.
The surface area of the cone peak is approximately 879.61 square inches.
Use the image to answer the question.
A 3 D cylinder shows a base radius of 8 millimeters and perpendicular height of 13 millimeters. A right angle is formed at the center of the base.
Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.
(1 point)
don't show your work.