Question

9. The area of the curved surface of a cylinder is 4400 cm?, and the circumference of a
base is 110 cm. Find
(i) the height of the cylinder.
(ii) the volume of the cylinder.​

Answer 1

The Volume of the cylinder

Answer 2

Answer:

❍ Circumference Of It's Base = 110 cm

$\begin{gathered}\sf{ 2πr = 110}\\\\\\\\\ \dashrightarrow\sf{ 2 ×}\dfrac{22}{7} × r = 110 \\\\\\\ \\ \dashrightarrow\sf\dfrac{44}{7} × r = 110 \\\\\\\\ \dashrightarrow\sf\textbf{ r = 17.5 cm}\end{gathered}$

$\underline{\bigstar\:\textsf{Curved Surface Area = 4400cm² :}}$

$\begin{gathered}\dashrightarrow\sf{ 2πrh = 4400}\\ \\ \\ \dashrightarrow\sf{ 2 × }\dfrac{22}{7} × 17.5 × h = 4400\\ \\ \\ \dashrightarrow\sf\dfrac{44}{7} × 17.5 × h = 440 \\ \\ \\ \dashrightarrow\sf{ h =}\dfrac{4400}{40} ×2.5\\ \\ \\ \dashrightarrow\sf\textbf{ h = 40cm }\end{gathered}$

$\underline{\bigstar\:\textsf{Volume = 2πrh}}$

$\begin{gathered}\dashrightarrow\sf\dfrac{22}{7} × 17.5 × 17.5 × 40\\ \\ \\ \dashrightarrow\sf{38500cm²}\end{gathered}$

$\therefore{\underline{\textsf{Hence, Volume Of cylinder is \textbf{38500cm²}}}.}$