DavidGorgy2004 DavidGorgy2004
  • 14-05-2020
  • Mathematics
contestada

A cone has a volume of 36π ft^3. The height of the cone is 12 ft. Find the diameter of the base of the cone

Round to one decimal place if necessary.

Respuesta :

gomezgerman032 gomezgerman032
  • 20-05-2020

Answer: 6 feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= (1/3) π radius² height

Replacing with the values given and solving for r:

36π = (1/3) π r² 12

36π/ [(1/3) π 12]= r²  

9 = r²  

√9 =r

3 ft = r

Since:

Diameter = 2 x radius

Substituting r=3  

D = 2x 3

D = 6 feet

Feel free to ask for more if needed or if you did not understand something.  

Answer Link

Otras preguntas

Name two directions a river can erode in.
Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must be sell in order to earn $3000?
EXPERTS/ACE ( and people that wanna actually help)
Which describes an image that can be produced by a concave lens?
Which form of electromagnetic radiation is most destructive to chemical bonds in living tissue? A. gamma rays B. UV rays C. visible light D. X-rays
what are the similes and metaphors used in chapter 3 lord of the flies
Whitney's lung capacity was measured as 3.2 l at a body temperature of 37 ∘c and a pressure of 747 mmhg . how many moles of oxygen is in her lungs if air contai
What is "set point theory"? are toxins involved? describe how body size and homeostasis are related?
What does d represent in dna molecule that is to be replicated?
Which statement best summarizes why the population of African American slaves in Texas increased so much by 1860? ANSWER FAST, PLEASE!!!