Question

6. Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the
cylinder is 0.7 m, find its height​

Answer 1

Answer:

CSA of cylinder is 4.4

as we know CSA of cylinder is 2.pie.r.h

and radius =0.7

when we equate above equations,

2.pie.r.h= 4.4

2.pie×0.7×h= 4.4

here we got h= 1m

Answer 2

Question:

Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, Find its height.

To find:

★ To find the height of the cylinder.

Given:

$C.S.A \: of \: cylinder = 4.4 {m}^{2}$

$Radius \: of \: cylinder(r) = 0.7m$

$Height \: of \: the \: cylinder(h) = ?$

Let height be h metre.

Answer:

$Height \: of \: the \: cylinder \: is \: \underline{ \:\underline{ \: \sf \pink{\bold{ 1 m}} \: } \: }$

Step-by-step explanation:

$\boxed{C.S.A \: of \: cylinder =2\pi rh}$

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

$\implies 4.4 = 2 \times 22 \times 0.1 \times h$

$\implies 4.4 = 4.4 \times h$

$\implies h = \frac{4.4}{4.4}$

$\implies \boxed{h = 1 m}$

$\therefore Height \: of \: the \: cylinder \: is \: \underline{ \: \bold{ 1 m} \: }$

Formula used:

$\bigstar C.S.A \: of \: cylinder =2\pi rh$

Related formulae:

$\bigstar T.S.A \: of \: cylinder =2\pi r(h + r)$

$\bigstar Volume \: of \: cylinder =\pi {r}^{2} h$

Verification:

$C.S.A \: of \: cylinder =4.4{m}^{2}$

$\implies 4.4 = 2 \times \frac{22}{7} \times 0.7 \times 1$

$\implies \boxed{4.4 = 4.4}$

Hence verified.