Question

Calculate the volume of the composite shape please please help giving brainliest!!

Answer 1

${\qquad\qquad\huge\underline{{\sf Answer}}}$

There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.

Volume of whole ahape = volume of Cylinder + volume of sphere ~

Volume of sphere :

$\qquad \sf \dashrightarrow \: \cfrac{4}{3} \pi {r}^{3}$

$\qquad \sf \dashrightarrow \: \cfrac{4}{3} \sdot3.14 \sdot {(3)}^{3}$

$\qquad \sf \dashrightarrow \: (4 )\sdot(3.14) \sdot(9)$

$\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3}$

Volume of Cylinder :

$\qquad \sf \dashrightarrow \: \pi {r}^{2} h$

$\qquad \sf \dashrightarrow \: 3.14 \cdot(3) {}^{2} \sdot4$

$\qquad \sf \dashrightarrow \: 3.14 \sdot(9) \sdot(4)$

$\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3}$

Volume of whole shape :

$\qquad \sf \dashrightarrow \: 113.04 + 113.04 = 226.08 \: \: cm {}^{3}$

$\qquad \sf \dashrightarrow \: 226.08 \: \: cm {}^{3}$