The volume of a cylinder is 32.25 cubic inches. if a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

option 2nd is correct

volume of a cone is, 10.75 cubic inches

Step-by-step explanation:

Volume of a cone (V) is given by:

           ......[1]

where,

r is the radius of the cone and h is the height of the cone respectively.

As per the statement:

The volume of a cylinder is 32.25 cubic inches.

Volume of a cylinder is given by:

⇒

Divide both side by 3.14 we have;

It is also given that a cone has the same height and radius as the cylinder.

⇒ and

⇒

Using formula [1] we have;

Simplify:

cubic inches

therefore, volume of a cone is, 10.75 cubic inches

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation:

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: