Use the image to answer the question.
A cone is marked with a height of 12 centimeters and a diameter of 11 centimeters, both shown as perpendicular dotted lines. The slant height is 9 centimeters.
What is the height of the right circular cone?
(1 point)
Responses
5.5 cm
5.5 cm
12 cm
12 cm
9 cm
9 cm
11 cm
The correct answer is 9 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
628 centimeters
628 centimeters
533.8 square centimeters
533.8 square centimeters
628 square centimeters
628 square centimeters
1,099 square centimeters
The surface area of the cylinder can be calculated by using the formula:
Surface Area = (2 * pi * r * h) + (2 * pi * r^2)
where r is the radius and h is the height.
Substituting the given values into the formula:
Surface Area = (2 * 3.14 * 5 * 15) + (2 * 3.14 * 5^2)
Surface Area = (6.28 * 5 * 15) + (6.28 * 25)
Surface Area = (314 * 15) + 157
Surface Area = 4,710 + 157
Surface Area = 4,867 square centimeters
The correct answer is 4,867 square centimeters.
no that is not option
I apologize for the incorrect response. Let me recalculate.
The surface area of the cylinder can be calculated as:
Surface Area = (2 * pi * r * h) + (2 * pi * r^2)
Substituting the given values into the formula:
Surface Area = (2 * 3.14 * 5 * 15) + (2 * 3.14 * 5^2)
Surface Area = (6.28 * 5 * 15) + (6.28 * 25)
Surface Area = (314 * 15) + 314
Surface Area = 4,710 + 314
Surface Area = 5,024 square centimeters
The correct answer is 5,024 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)
ft2
The surface area of the cylinder can be calculated by using the formula:
Surface Area = (2 * pi * r * h) + (2 * pi * r^2)
Substituting the given values into the formula:
Surface Area = (2 * 3.14 * 4 * 3) + (2 * 3.14 * 4^2)
Surface Area = (6.28 * 4 * 3) + (6.28 * 16)
Surface Area = (75.36) + (100.48)
Surface Area = 175.84 square feet
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)
square inches
The surface area of the cone peak can be calculated using the formula:
Surface Area = pi * r * l
where r is the radius and l is the slant height.
Given that the diameter of the cone peak is 14 inches, the radius would be half of that, which is 7 inches.
Substituting the given values into the formula:
Surface Area = 3.14 * 7 * 20
Surface Area = 439.2 square inches
Therefore, the surface area of the cone peak is approximately 439.2 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)
cubic millimeters