a cone has a radius of 5 cm and a height of 9 cm what is the volume of the cone in cubic centimeters round your answer to the nearest tenth

11 answers

The volume of a cone is given by the formula: V = (1/3)πr^2h, where r is the radius and h is the height.

Given:
Radius (r) = 5 cm
Height (h) = 9 cm

Substituting the values into the formula, we have:
V = (1/3)π(5^2)(9)
= (1/3)π(25)(9)
= (1/3)(3.14)(25)(9)
= 235.5 cm^3

Therefore, the volume of the cone is approximately 235.5 cubic centimeters.
what is the volume in cubic inches of a cone with a radius of 6 inches and a height of 7 in. round your answer to the nearest hundredth
To find the volume of the cone in cubic inches, we can use the same formula as before: V = (1/3)πr^2h.

Given:
Radius (r) = 6 inches
Height (h) = 7 inches

Substituting the values into the formula, we have:
V = (1/3)π(6^2)(7)
= (1/3)π(36)(7)
= (1/3)(3.14)(36)(7)
= 263.62 in^3

Therefore, the volume of the cone is approximately 263.62 cubic inches.
sorry, i meant a diameter of 6
If the diameter of the cone is 6 inches, then the radius would be half of the diameter, which is 3 inches.

Using the formula for the volume of a cone: V = (1/3)πr^2h

Given:
Radius (r) = 3 inches
Height (h) = 7 inches

Substituting the values into the formula, we have:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(3.14)(9)(7)
= 197.92 cubic inches

Therefore, the volume of the cone is approximately 197.92 cubic inches.
my source says your wrong
I apologize for any confusion caused. Let's reevaluate the problem:

Given:
Diameter (d) = 6 inches
Radius (r) = d/2 = 6/2 = 3 inches
Height (h) = 7 inches

Using the formula for the volume of a cone: V = (1/3)πr^2h

Substituting the values into the formula, we have:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(3.14)(9)(7)
= 197.39 cubic inches

Therefore, the volume of the cone is approximately 197.39 cubic inches when rounded to the nearest hundredth.
again
I apologize for the mistake.

Given:
Diameter (d) = 6 inches
Radius (r) = d/2 = 6/2 = 3 inches
Height (h) = 7 inches

Using the formula for the volume of a cone: V = (1/3)πr^2h

Substituting the values into the formula, we have:
V = (1/3)π(3^2)(7)
= (1/3)(3.14)(9)(7)
≈ 65.98 cubic inches

Therefore, the volume of the cone is approximately 65.98 cubic inches when rounded to the nearest hundredth.
what is the volume in cubic inches of a cone with a diameter of 6 in and a height of 7 in? round your answer to the nearest hundredth
Apologies for the confusion. Let's re-evaluate the problem.

Given:
Diameter (d) = 6 inches
Radius (r) = d/2 = 6/2 = 3 inches
Height (h) = 7 inches

Using the formula for the volume of a cone: V = (1/3)πr^2h

Substituting the values into the formula, we have:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(3.14)(9)(7)
≈ 197.92 cubic inches

Therefore, the volume of the cone is approximately 197.92 cubic inches when rounded to the nearest hundredth.