Question

area of a base of cylinder is 16π cm2 and it's CSA is 32πcm2 find volume of cylinder.​

Answer 1

GIVEN :-

• Base area of cylinder = 16π cm²

• Curved surface area of cylinder = 32π cm²

TO FIND :-

• Volume of cylinder

SOLUTION :-

• Formula to find the base area of cylinder = $\sf\pi r^2$

                       

               $\longrightarrow \sf \pi r^2 = 16\pi\\\\\longrightarrow r^2=16\\\\\longrightarrow r=\sqrt{16} \\\\\longrightarrow \bf r = 4$

           Radius of the cylinder = 4 cm

•  Formula to find the curved surface area of the cylinder $= \sf 2\pi r h$

 

               $\longrightarrow \sf 2\pi \times 4\times h = 32 \pi \\\\\longrightarrow 8h = 32\\\\\longrightarrow h = 32\div 8 \\\\\longrightarrow \bf h = 4$

          Height of the cylinder = 4 cm

   →   Formula to find the volume of cylinder $\sf = \pi r ^2h$

          Volume of cylinder   $=\sf \pi \times4 \times 4\times 4$

                                             $\sf = 64\pi \ cm^3$