(¡) calculate the volume of the solid

Question

asked May 27, 2023 56.7k views

1 Answer

Jasttim · Answer 1 · 2023-05-31T14:07:04+0000

Answer:

$(550)/(3) \pi$ cm³ = 576 cm³ (3 sf)

Explanation:

Height of hemisphere = 5 cm therefore, radius (r) = 5

Volume of a hemisphere =
$(2)/(3) \pi r^3$ =
$(2)/(3) \pi * 5^3$ =
$(250)/(3) \pi$

Volume of a cone =
$(1)/(3) \pi r^2h$ =
$(1)/(3) \pi * 5^2 * 12$ =
$100\pi$

Total volume of solid =
$(250)/(3) \pi +100\pi =(550)/(3) \pi =$ 576 cm³ (3 sf)