What is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?

9514 1404 393

  10.24 m

Step-by-step explanation:

The volume formulas for the figures are ...

You can fill in the given radii and set the volumes equal:

  4/3π(4 m)³ = 1/3π(5 m)²h

  h = (4^4)/(5^2) m . . . . . divide by the coefficient of h

  h = 10.24 m

The height of the cone is 10.24 meters.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of