Question

20 POINTS! WILL MAKE BRAINLIEST

Answer 1

1.a sphere with a radius of three units

 By definition, the volume of a sphere is:
 $V = ( \frac{4}{3} ) (\pi) (r ^ 3)$
 Substituting values we have:
 $V=(\frac{4}{3})(\pi)(3^3)$
 Rewriting we have:
 $V = (4) (\pi) (3 ^ 2) V = (4) (\pi) (9) V = 36\pi$

 2.a cone with a diameter of twelve units and a height of three units
 
 By definition, the volume of a cone is given by:
 $V = \frac{1}{3} (\pi) (r ^ 2) (h)$
 Substituting values we have:
 $V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3)$
 Rewriting we have:
 $V = (\pi) (6 ^ 2) V = 36\pi$