Find the volume of the composite solid. ( The26 cm12 cm

Question

asked Jan 18, 2023 201k views

1 Answer

Nellute · Answer 1 · 2023-01-22T10:46:14+0000

The formula to calculate the volume of a cylinder is

$V=\pi r^2h$

The formula to calculate the volume of a hemisphere is

$V=(2)/(3)\pi r^3$

Hence, the volume of the composite shape can be calculated by using the formula

$V=\pi r^2h+(2)/(3)\pi r^3$

From the question, we have the following parameters:

r = 12/2 = 6cm (radius is half of the diameter)

h = 26cm

Substituting, using pi as 22/7, we have

$\begin{gathered} V=((22)/(7)*6^2*26)+((2)/(3)*(22)/(7)*6^3) \\ V=2940.53+452.39 \\ V=3392.9\operatorname{cm}^3 \end{gathered}$

The volume is given as 3392.9 cm³.

The correct option is the FIRST OPTION.