dominique444
dominique444 dominique444
  • 24-05-2022
  • Mathematics
contestada

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 cm³.
hl
What is the volume of the sphere?
cm³

Respuesta :

MathPhys
MathPhys MathPhys
  • 24-05-2022

Answer:

32 cm³

Step-by-step explanation:

Volume of a sphere is:

[tex]V_{s}=\frac{4}{3}\pi r^{3}[/tex]

Volume of a cylinder is:

[tex]V_{c} = \pi r^{2} h[/tex]

The volume of the cylinder is 48 cm³.

The cylinder has the same radius (r) and height (2r) as the sphere.

[tex]48 = \pi r^{2} (2r)\\48 = 2\pi r^{3}\\24 = \pi r^{3}[/tex]

Therefore, the volume of the sphere is:

[tex]V_{s}=\frac{4}{3} (24)\\V_{s}=32[/tex]

Answer Link

Otras preguntas

Which type of text tells you how to do something? a. persuasive b. narrative c. procedural d. expository
What is the solution to the system of equations? x+y = 2 x -y =4 (__ , ____)
The green line below
Find the volume of the figure
The ones digit of a two-digit number is 4 more than the tens digit. Find the number, if the sum of that number and the number reversed is 110.
HELP!!!!!!! The total sale price for purchase at one store is $268.97. The total sale price at another store is $240.95. You have an additional 10% off coupon f
Ava has 20-foot length of wire.She cuts the wire into 6 pieces of equal length.The length of each piece of wire will fall between which two whole-number lengths
Explain the geographical context for the development of the Babylonian Empire.
the following is what type of sentence? While the police are understaffed and politicians look the other way urban crime is getting worse. A. simple B. Compound
What helps with asexual reproduction of yeast