marrissam6348 marrissam6348
  • 25-05-2021
  • Mathematics
contestada

The height of a cone is equal to three timesthe radius of the base. If the base has area 49 pie cm2, what is the volume of the cone?

Respuesta :

ewomazinoade ewomazinoade
  • 27-05-2021

Answer:

343pi^3

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

Base area = area of a circle

Area of a circle = πr²

49 pi = πr²

r² = 49

r = 7

h = 7 x 3 = 21

volume = 1/3 x 21 x 7^2 = 343pi

Answer Link

Otras preguntas

Which table represents a quadratic function?
A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
How many times does 2 go into 36?
2•3 + 6 to the second power
1/6 closest to 0, 1/2
which of the following is true about the writing process A. Once you have finished drafting, you cannot go back. B. you may go back more than once to the drafti
the sum of 4 consecutive integers is 86 what are the integers
How many electrons can the 4d orbitals have all together?
is incomplete dominance and codominance the same thing?? pls help
If g(x)=X+7 divided by X +1 find g^-1(X)