1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexxx [7]
3 years ago
14

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

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

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

You might be interested in
What is the place of the 9 in the number 5,948,003
tino4ka555 [31]
The 9 is in the one hundred thousand's place
4 0
3 years ago
Read 2 more answers
The missing number in the series?
RoseWind [281]
A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448
7 0
3 years ago
What is the answer to 168÷54
mylen [45]
3 1/9 or 3.11 because you get a remainder of 1.

6 0
3 years ago
Read 2 more answers
Parallelogram CDEF with vertices C(-4,-4), D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
STALIN [3.7K]
Y=2 I’d the answer I think
7 0
2 years ago
PLEASE HELP I WILL MARK AS BRAINLIEST!!! HELP PLEASE!!!!!
Natasha2012 [34]

Answer:

The answer would be x=7

4 0
3 years ago
Other questions:
  • Among the eighth-graders in Michael's school, 70% have siblings. The eighth-grade class is 5/6 the size of the seventh-grade cla
    8·1 answer
  • What is the sector area? <br><br> r=7mi, 0=225 degree
    15·1 answer
  • At how many points does the graph of the function below intersect the x-axis?
    13·1 answer
  • 3х + 5у = -3<br>x+2y = - 4/3​
    7·1 answer
  • If l is a vertical line passing through points A(a, b) and B(c, d), then what can you say about a and c?
    9·1 answer
  • Find the length of side AB<br> Give answer to 3 significant figures
    10·1 answer
  • Find the volume! It’s due soon.
    6·2 answers
  • HELPPPP please help for brainlist !!!!!!!!!!!!!!
    8·1 answer
  • Calculate the accumulated amount after 3 years, if R5 000 is invested at an interest rate of 10% compounded quarterly?​
    11·2 answers
  • Mini staw<br> D:<br> R:<br> what is the domain and range
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!