Question

Find the volume and total surface area of the composite figure below.​

Answer 1

Volume = 6467.492mm³

Surface area = 1332.035mm²

Explanation:

volume of a cone is
`\pi`r²h. V=
`\pi`10²(24)=7539.822mm³

volume of a sphere is 4/3
`\pi`r³. V=4/3
`\pi`(8³)=2144.66mm³

Since it's a half of a sphere, it would be 1072mm.33³

7539.822-1072.33=6467.492mm³

Surface area of a cone is
`\pi`r(r+√h²+r²)=1130.97

area of a circle=
`\pi`r²=201.06

surface area of a sphere is 4
`\pi`r²=804.25

Since it's a half sphere, it would be 402.125

1130.97-201.06+402.125=1332.035mm²