Asked by WeaponXasks

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
Answered by WeaponXasks
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
Answered by WeaponXasks
sorry, i meant a diameter of 6
Answered by WeaponXasks
my source says your wrong
Answered by WeaponXasks
again
Answered by WeaponXasks
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
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.