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
Andru [333]
3 years ago
15

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

nd radius r. A cylinder with height h and radius r. What is the volume of the sphere? 6 meters cubed 7 meters cubed 14 meters cubed 28 meters cubed
Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer:

14 meters cubed

Step-by-step explanation:

Volume of cylinder:

pi × r² × (2r)

2pi × r³ = 21

pi × r³ = 10.5

Volume of sphere:

(4/3) × pi × r²

(4/3) × 10.5

14 m³

8090 [49]3 years ago
5 0

Answer:

C. 14 metres cubed

Step-by-step explanation:

The volume of a sphere is denoted by: V=\frac{4}{3} \pi r^3, where r is the radius, while the volume of a cylinder is denoted by: V=\pi r^2h, where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

V=\pi r^2h=\pi r^2*2r=2\pi r^3

21=2\pi r^3

πr³ = 21/2 = 10.5

Now plug this into the volume of a sphere formula:

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

V=\frac{4}{3} *10.5=14

The answer is C, 14 metres cubed.

You might be interested in
Please help with this
quester [9]

Answer:

Step-by-step explanation:

do it your self

6 0
3 years ago
Two similar triangles are shown on the coordinate grid:
vazorg [7]

Answer:

balls in to jaws big boy daddyyyyy

8 0
2 years ago
This building consists of two rectangular prisms-a small space for offices and an attached larger space for warehouse storage. H
Naily [24]
I would have to know the space of the two rectangular prisms to answer this correctly
6 0
3 years ago
0.02349 in standard form to 3 significant figure is?​
Travka [436]

Answer:

I believe that would be 0.0235. I hope this helps you! :)

8 0
2 years ago
Read 2 more answers
Plugin y=-5 into either equation and solve for x<br> -6x-8y=-20 or x+y=5
nalin [4]

Answer:

x = 10

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which is equivalent to 49 3/2
    5·1 answer
  • What is the function value of f(2) if f(x) = x + 4
    14·1 answer
  • Company B loses $1,575 for every employee who quits before 90 days. What is the total amount the company will lose if 2 employee
    12·1 answer
  • The integer 6 is the product of two consecutive integers (6 = 2 × 3) and the product of three consecutive integers (6 = 1 × 2 ×
    15·1 answer
  • Rodney drops a ball from the bridge at an initial height of 220 feet. How many seconds after the ball is released will it hit th
    7·1 answer
  • What is the solution set of {x|x 5
    11·1 answer
  • What is the value of the expression below?<br> 36÷103
    6·1 answer
  • cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bulls
    8·2 answers
  • Give a written explanation for how to find the quotient of each of the problems listed below using one of the following methods:
    11·1 answer
  • Is this relation a function why or why not!?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!