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
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
sorry, i meant a diameter of 6
my source says your wrong
again
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.
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.
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.
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.