MATH SOLVE

4 months ago

Q:
# This cylindrical fish tank has a height of 36 inches and a diameter of 30 inches. What is the volume of the fish tank?

Accepted Solution

A:

The formula for the volume of a cylinder is:

area of cross-section x the height.

First lets work out the area of the cross-section. Since the cross-section is a circle, we use the formula π x r²

Halve the the diameter to get the radius, so we can use the formula:

30 / 2 =15

Area of cross-section

π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section, we multiply this by the height to get the volume.

706.8583471 x 36 = 25446.90049

= 25446.90 (2dp)

So the volume of the cylindrical fish tank is 25446.90

area of cross-section x the height.

First lets work out the area of the cross-section. Since the cross-section is a circle, we use the formula π x r²

Halve the the diameter to get the radius, so we can use the formula:

30 / 2 =15

Area of cross-section

π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section, we multiply this by the height to get the volume.

706.8583471 x 36 = 25446.90049

= 25446.90 (2dp)

So the volume of the cylindrical fish tank is 25446.90