Answer: First option is correct.
Explanation:
Since we have given that
Radius = 11 inches
Height = 14 inches
Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.
Then,
Radius is given by

Height is given by

As we know the formula for " Volume of cylinder ":

Hence, our volume of new similar cylinder is 340426.24 cubic in.
Therefore, First option is correct.
C and A ...................
<span>2d – e = 7 </span>
<span>d + e = 5 </span>
<span>3d=12 </span>
<span>d=4 </span>
<u>Given</u>:
Given that the radius of the sphere is 9 cm
We need to determine the volume of the sphere.
<u>Volume of the sphere:</u>
Let us determine the volume of the sphere.
The volume of the sphere can be determined using the formula,

where r is the radius of the sphere.
Substituting r = 9 in the above formula, we get;




Thus, the volume of the sphere is 972π cm³
Hence, Option B is the correct answer.