The answer would be A. 50 check the pdf for work.
Answer:

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:


Answer:
225
Step-by-step explanation:
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Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3