Can you please help me with my math homework its talking about surface area of a cylinder and volume of a cylinder

Question

asked Jun 13, 2023 210k views

1 Answer

Bereal · Answer 1 · 2023-06-19T15:03:46+0000

Given: the shape of a cylinder

As shown: diameter = d = 12 cm

So, the radius = r = d/2 = 12/2 = 6 cm

Height = h = 5 cm

The volume of the cylinder will be:

$V=\pi\cdot r^2\cdot h=3.14\cdot6^2\cdot5=3.14\cdot36\cdot5=565.2\operatorname{cm}^3$

The surface area of the cylinder will be:

$\begin{gathered} SA=2\pi r^2+2\pi rh=2\cdot3.14\cdot6^2+2\cdot3.14\cdot6\cdot5 \\ SA=226.08+188.4=414.48\operatorname{cm}^2 \end{gathered}$

So, the asnwer will be:

$\begin{gathered} V=565.2\operatorname{cm}^3 \\ \\ SA=414.48\operatorname{cm}^2 \end{gathered}$