Question

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

Answer 1

Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: $\pi$r²$\frac{h}{3}$

Volume of hemisphere: $\frac{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 × $\frac{8}{3}$) + ($\frac{2}{3}$ × $\pi$ 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.)