Question

the volume of a cylinder is 448 pie CM cube and height 7 .Find it's curved surface area and total surface area

Answer 1

these are the answers of the question

Answer 2

Given :

$\diamond \rm \: Diameter = 7 \: cm$

$\diamond \rm \: Height = 5 \: cm$

To Find :

$\rm (i) \: \: Curved \: Surface \: Area$

$\rm (ii)Total \: Surface \: Area$

$\rm \: (iii)Volume$

Solution:

$\sf \: Radius = \dfrac{7}{2} = 3.5 \: cm$

$\textbf{\underline{\underline{Curved\:Surface\:Area : }}}$

$\star \tt \: C.S.A = 2\pi \: r \: h$

$\hookrightarrow \sf \: 2 \times \dfrac{22}{7} \times 3.5 \times 5$

$\hookrightarrow \sf \: \dfrac{770}{7}$

$\sf \: C.S.A = \large \boxed{\sf \: 110 \: {cm}^{2} }$

$\textbf{\underline{\underline{Total\:Surface\:Area : }}}$

$\star \tt \: T.S.A = 2\pi \: r(r + h)$

$\hookrightarrow \sf \: 2 \times \dfrac{22}{7} \times 3.5 \: (3.5 + 5)$

$\hookrightarrow \sf \: 2 \times \dfrac{22}{7} \times 3.5 \times 8.5$

$\hookrightarrow \sf \: \dfrac{1309}{7}$

$\sf \: T.S.A = \large \boxed{\sf \: 187 \: {cm}^{2} }$

$\textbf{\underline{\underline{Volume: }}}$

$\star \rm \: Volume = \pi {r}^{2}$

$\hookrightarrow \sf \: \dfrac{22}{7} \times 3.5 \times 3.5$

$\hookrightarrow \sf \dfrac{1347.5}{7}$

$\sf \: Volume= \large \boxed{\sf \: 192.5 \: {cm}^{3} }$