Question

Find the volume of the solid where the cone and half sphere are hollow. Use 3.14 for П ; height is 19 in; radius is 5 in. Round to the nearest whole number as needed. =in3

Answer 1

Volume of Solids

The volume of the solid is 758.83 in³

Step-by-step explanation:

Given that the cone and half sphere is hollow

The volume of the cone = $1/3 \pi r^{2} h$

The Volume of the sphere  = $4/3 \pi r^{3}$

So the Volume of the half sphere =$2/3\pi r^{3}$

The volume of solid = volume of cone + volume of the half sphere

$V = V_{1} + V_{2}$

Given

height h = 19 in

radius r = 5 in

$V_{1\\}$  = $1/3 \pi r^{2} h$

     = 1/3 × 3.14 × 5 × 5 × 19

     = 497.16 in³

$V_{2} = 2/3 \pi r^{3}$

   = 2/3 × 3.14 × 5 × 5 × 5

   = 261.67 in³

V =  497.16 in³ + 261.67 in³

  = 758.83 in³

Hence the volume of the solid is 758.83 in³