Question

15 points!!!!!!!!!!!!!!!!!!!

Answer 1

1)

V=hpr^2

r=√(V/(hp)), using 216p for V and 3 ft for h you get:

r=√(216p/(3p))

r=√72

r≈8.5 ft (to nearest tenth of a foot)

2)

The volume of these ice cream cones is half the volume of a sphere plus the volume of a cone...

V=((4pr^3)/3)/2+(hpr^2)/3

V=(4pr^3)/6+(hpr^2)/3

V=(p/3)(2r^3+hr^2)

And the difference between them is:

V=(p/3)(2R^3+HR^2-2r^3-hr^2), given R,H,r,h=3,12,2,8:

V=(p/3)(2*27+12*9-2*8-8*4)

V=(p/3)(114)

V=38p cm^3

V≈119.38 cm^3  (to nearest one-hundredth of a cm^3)

3)

V=[(4pr^3)/3]/2

V=(2pr^3)/3 and when r=15yd

V=2250p yd^3

V≈7068.58 yd^3  (to nearest hundredth of a yd^3)