Question

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

Answer 1

GIVEN :-

• Curved surface area of right circular cylinder is 4.4 m².
• Radius of base of the cylinder is 0.7 m.

TO FIND :-

• The height of the cylinder.

SOLUTION :-

$\\: \implies \displaystyle \sf C.S.A \: of \: right \: circular \: cylinder = 2\pi rh$

$: \implies \displaystyle \sf 4.4 = 2 \times \dfrac{22}{7} \times 0.7 \times h$

$: \implies \displaystyle \sf 4.4 = \dfrac{44}{7} \times 0.7 \times h$

$: \implies \displaystyle \sf 4.4 = \dfrac{44}{10} \times h$

$: \implies \displaystyle \sf 4.4 = 4.4h$

$: \implies \displaystyle \sf h \: =\dfrac{4.4}{4.4}$

$: \implies \underline{ \boxed{\displaystyle \sf h \: = 1m}} \: \: \: \: \: \: \: \: \: \: \: \bigg \lgroup \displaystyle \sf \: height \: \bigg \rgroup$

$\therefore \underline{\displaystyle \sf Height \: of \: the \: right \: circular \: cylinder \: is \: 1 m.}$

_____________________

$\dashrightarrow \displaystyle \sf T.S.A \ of \ cylinder = 2\pi rh + 2\pi r^{2}.$

Answer 2

Given:

• The curved Surface area of an right circular cylinder is 4.4m²
• Radius of the base is 0.7m

Find:

• Height of the cylinder

Solution:

Here, we, know that

$\underline{\boxed{ \rm Curved \: Surface \: Area \: of \: cylinder = 2 \pi r h}}$

where,

• π = 22/7
• Curved surface area = 4.4m²
• Radius = 0.7m

So,

$\rm \implies Curved \: Surface \: Area \: of \: cylinder = 2 \pi rh$

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

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

$\rm \implies 4.4= \frac{308}{70} \times h$

$\rm \implies 4.4 \times \frac{70}{308} =h$

$\rm \implies \frac{44}{10} \times \frac{70}{308} =h$

$\rm \implies \frac{3080}{3080}=h$

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

Hence, the height of the cylinder is 1m