Given:
A prism has a base area of
square units and a volume of
cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:

Where, B is the base area and h is the height of the prism.
The volume of cylinder is:


Where, r is the radius, h is the height of the cylinder and
is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is
cubic units.
Answer:337.5 miles
Step-by-step explanation:
Find the unit rate 135/6 = 22.5/1
He can drive 22.5 miles on 1 gallon of gas
Then multiply by 15
22.5x15= 337.5
Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:


The correct answer is the first answer choice.