Question

curved surface area of right circular cylinder is 4.4 m square if the radius of the base of the cylinder is 0.7 metre find its height​

Answer 1

Given

• Curved surface area of right Circular Cylinder = 4.4 m
• Radius = 0.7

$\bf \red { \underline{To \: find \: out}}$

Find its height.

$\bf \red { \underline{Formula \: used}}$

$Curved \: surface \: area = 2\pi \: rh$

$\bf \red{ \underline{Solution}}$

$\green{Curved \: surface \: area } = 2\pi \: rh$

Putting the value

$\implies \: 4.4 = 2 \times \frac{22}{7} \times 0.7 \times h$

$\implies \: 4.4 = 2 \times \frac{22}{7} \times \frac{7}{10} \times h$

$\implies4.4 = 2 \times \frac{22}{\cancel7} \times \frac{ \cancel7}{10} \times h$

$\implies \: 4.4 = \frac{44}{10} h$

$\implies 4.4 \times 10 = 44h$

$\implies \: \frac{44}{ \cancel 10} \times \cancel10 = 44h$

$\implies \: h = \cancel \frac{44}{44}$

$\implies h = 1$

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Height\:of\:cylinder=1\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies C.S.A \: of \: right \: circular \: cylinder = 4.4 \: {m}^{2} \\ \\ \tt: \implies Radius \: of \: cylinder = 0.7 \: m \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Height \: of \: cylinder = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies C.S.A \: of \: cylinder = 4.4 \: {m}^{2} \\ \\ \tt: \implies 2\pi rh = 4.4 \\ \\ \tt: \implies 2 \times \frac{ 22 }{7} \times 0.7 \times h = 4.4 \\ \\ \tt: \implies 44 \times 0.1 \times h = 4.4 \\ \\ \tt: \implies h = \frac{\cancel{4.4}}{\cancel{4.4}} \\ \\ \green{\tt: \implies h = 1 \: m} \\ \\ \green{\tt \therefore Height \: of \: cylinder = 1 \: m}$