Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A cone has volume of 3.

If the cone’s radius is 1, what is its height?

If the cone’s radius is 2, what is its height?

If the cone’s radius is 5, what is its height?

If the cone’s radius is 1/2, what is its height?

Sagot :

reynawolfie

Answer:

9/pi or 2.865

2.25/pi or 0.716

9/25pi or 0.115

36/pi or 11.459

Step-by-step explanation:

The formula for the volume of a cone

V= 1/3pir^2h

V= volume

pi= 3.141592...

r= radius

h= height

1) 3= 1/3pi (1)^2h

9=pi(h)

h= 9/pi or 2.865

2) 3= 1/3pi (2)^2h

9=4pih

h= 9/4pi or 0.716

3) 3= 1/3pi (5)^2h

9= 25pih

h= 9/25pi or 0.115

4) 3=1/3pi (1/2)^2h

9= 1/4pih

h= 36/pi or 11/459

ashish4112119

Answer:

r = 1 h = 9

r = 2 h = 2.25

r = 5 h = .36

r = 1/2 h = 36

Step-by-step explanation:

volume of a cone = ( π * r^2 * h )/ 3

3π = (π * r^2 * h )/3

9π = π * r^2 * h

9 = r^2 * h

h = 9 / r^2

when r is 1 h is 9

when r is 2 -> 9 ÷ 4 = 2.25 = h

when r is 5 -> 9 ÷ 25 = .36 = h

when r is 1/2 -> 9 ÷ 1/4 = 9 * 4 = 36 = h

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.