Question

Please help.............

Answer 1

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Explanation:

Formulas (for easier reference):

Volume of cone:
`\pi`r²
`(h)/(3)`

Volume of hemisphere:
`(2)/(3)`
`\pi`r³

Surface area of cone without base:
`\pi`rl

Surface area of hemisphere without base: 2
`\pi`r²

We can just apply the formulas for the question:

Volume of toy = (
`\pi` × 6² ×
`(8)/(3)`) + (
`(2)/(3)` ×
`\pi` 6³)

= 96
`\pi` + 144
`\pi`

= 240
`\pi`

= 754cm³ (3 s.f.)

Surface area of toy = (
`\pi` × 6 × 10) + (2 ×
`\pi` × 6²)

= 60
`\pi` + 72
`\pi`

= 132
`\pi`

= 415cm² (3 s.f.)