What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Round your answer to the nearest hundredth.(1 point)
cubic inches
actually, 3 x 3 x 7 = 63
63 divide by 3 = 21
21 x 3.14 for pi = 65.94
so the answer is not 66.00
the answer is 65.94
we also got 3 because the diameter is 6, if they give us a diameter we divide by 2 for 3
bro this is wrong use 3.14 for pi add it and do step by step
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h,
where:
- Volume is the volume of the cone
- π (pi) is a constant approximately equal to 3.14159
- r is the radius of the base of the cone
- h is the height of the cone
In this case, the diameter of the cone is given, which is 6 inches. To find the radius, you need to divide the diameter by 2:
radius = diameter / 2 = 6 / 2 = 3 inches.
Now you have all the values needed to calculate the volume. Plugging in the values into the formula, you get:
Volume = (1/3) * π * (3^2) * 7.
Simplifying this equation, you get:
Volume = (1/3) * 3.14159 * 9 * 7.
Calculating that, you get:
Volume ≈ 65.45 cubic inches.
Rounding to the nearest hundredth, the volume of the cone is approximately 65.45 cubic inches.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter is 6 inches, the radius is half of the diameter, which is 6/2 = 3 inches.
Plugging in the values into the volume formula, we have V = (1/3)π(3^2)(7).
Simplifying, V = (1/3)π(9)(7).
Calculating, V ≈ 65.97 cubic inches.
Rounding to the nearest hundredth, the volume is approximately 66.00 cubic inches.