Question

10 points for question answered correctly and work shown
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Answer 1

Question 1:

For this case we have that by definition, the volume of a cylinder is given by:

`V = \pi * r ^ 2 * h`

Where:

A: It's the radio

h: It's the height

In this case we have to:

Since the diameter is 10ft, then
`r = 5 \ ft`

`h = 21 \ ft`

Substituting:

`V = \pi * (5) ^ 2 * 21\\V = 3.14 * 25 * 21\\V = 1648.5 \ ft ^ 3`

Thus, the volume of the cylinder is
`1648.5 \ ft ^ 3`

Answer:

`1648.5 \ ft ^ 3`

Question 2:

For this case we have that by definition, the volume of a sphere is given by:

`V = \frac {4} {3} *\pi * r ^ 3`

Where:

A: It's the radio

We have to:

`r = 20cm`

Substituting:

`V = \frac {4} {3} * \pi * (20) ^ 3\\V = \frac {4} {3} * 3.14 * 8000\\V = 33493.33333`

Rounding:

`V = 33493.3 \ cm ^ 3`

Answer:

`33493.3 \ cm ^ 3`

Answer 2

2. 1648.5 ft³

3. 33493.3 cm³

Explanation:

Volume of a cylinder is given by the equation;

v=
`\pi`r²h

v=3.14×5×5×21=1648.5 ft³

Volume of a sphere is given by

4/3
`\pi`r³

v= 4/3 ×3.14×20³ =33493.3 cm³

where r=radius and h=height