B) The number of volume of a cylinder is half of its number of the total surface area. If the radius of its base is 7 cm, find the volume.

Step-by-step explanation:

the volume of a cylinder is given by:

where r is the radius and h is the height.

and the surface area:

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

substitutig the equivalent expressions on each side:

and we simplify and solve for the height (since is the value we don't know of the cylinder):

we substitute the value of the radius , and we get:

thus the volume is:

the correct answer is 179.6cm3

{3 + i, 3 - i, 3, -1}

step-by-step explanation: