katy187 katy187
  • 12-02-2020
  • Mathematics
contestada

if the radius of a cylinder increases by a factor of 8, by what factor does the volume increase

Respuesta :

altavistard
altavistard altavistard
  • 12-02-2020

Answer:

Factor of 64.

Step-by-step explanation:

Volume of cylinder:  V = πr²h, where V is the volume, r is the radius and h is the length or height.

Now supposing that we multiply the radius by 8.  How does the cylinder volume compare to the original volume?

Original volume:  V = πr²h

New volume:      V = π(8r)²h = 64πr²h

So the volume increases by a factor of 64.

Answer Link

Otras preguntas

what is the gcf of50 and 125
how did agriculture developed differently in the middle and southern colonies than it did in new england
What are three things that prokaryotic and eukaryotic cells must have
What is another word for intrusive? A. igneous B. plutonic C. volcanic D. crystallized
Who are the three major groups of people that shaped the cultures of latin america?
Can someone tell what kind of energy tires sliding on pavement is when the brakes are applied. I'm pretty sure it is heat energy but doubting myself.
Study the following lines: If this be error and upon me proved, I never writ, nor no man ever loved. These lines are an example of a/an A. quatrain. B. couple
which decimal is equal to one fifth? 0.6, 0.15, 0.2, 0.3, 0.4
Which sentence uses an action verb? a. Our local park is near my house. b. The fireworks were a display of bright colors. c. I watched a fireworks display this
Why are scientists concerned about the loss of species as a result of human activities?