1.8k views
4 votes
10 points for question answered correctly and work shown
thanks!

10 points for question answered correctly and work shown thanks!-example-1
User Musette
by
8.2k points

2 Answers

4 votes

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

User Liquinaut
by
8.8k points
3 votes

Answer:

2. 1648.5 ft³

3. 33493.3 cm³

Explanation:

Volume of a cylinder is given by the equation;

v=
\pir²h

v=3.14×5×5×21=1648.5 ft³

Volume of a sphere is given by

4/3
\pi

v= 4/3 ×3.14×20³ =33493.3 cm³

where r=radius and h=height

User Dgp
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories