MATH SOLVE

9 months ago

Q:
# A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the volume, in cubic units, of the frustum? π(7.52)(11) – π(3.52)(8) π(7.52)(11) + π(3.52)(8) π(7.52)(19) – π(3.52)(8) π(7.52)(19) + π(3.52)(8)

Accepted Solution

A:

Volume of Frustum having , H= 11 units, Larger radius (R)= 7.5 units , and Smaller radius(r) =3.5 units is given by= [tex]\frac{\pi\times H}{3} \times (R^2+R r+r^2)[/tex]Or, the volume of frustum can be calculated by= Volume of larger cone - volume of smaller cone[tex]=\frac{\pi }{3}\times [(7.5)^2\times 19]-\frac{\pi }{3}\times [(3.5)^2\times 8][/tex]As, total height= 11 +8=19 units, radius of smaller cone= 3.5 unitsRadius of whole cone = 7.5 unitsOption (C)