Question

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

Answer 1

Answer:

Given :-

• The curved surface area of a right circular cylinder is 4.4 m².
• The radius of the base of the cylinder is 0.7 m.

To Find :-

• What is the height of a right circular cylinder.

Formula Used :-

$\clubsuit$ Curved Surface Area or CSA of Right Circular Cylinder Formula :

$\mapsto \sf\boxed{\bold{\pink{C.S.A_{(Cylinder)} =\: 2{\pi}rh}}}$

where,

• C.S.A = Curved Surface Area
• π = pie or 22/7
• r = Radius
• h = Height

Solution :-

Given :

• Curved Surface Area = 4.4 m²
• Radius = 0.7 m
• pie (π) = 22/7

According to the question by using the formula we get,

$\bigstar\: \: \sf\bold{\purple{2{\pi}rh =\: 4.4}}\: \: \bigstar$

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

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

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

$\implies \sf h =\: \dfrac{\cancel{30.8}}{\cancel{30.8}}$

$\implies \sf h =\: \dfrac{1}{1}$

$\implies \sf\bold{\red{h =\: 1\: m}}$

${\small{\bold{\underline{\therefore\: The\: height\: of\: a\: right\: circular\: cylinder\: is\: 1\: m\: .}}}}$

Answer 2

$\pink{ \boxed{\boxed{\begin{array}{cc} \leadsto \bf given \\ \\ \rm \to \:Curved \: surface \: area \: of \: cylinder , \\ \rm \: = C.S.A = 4.4 \: {m}^{2} \\ \\ \rm \to \: Radius \: of \: the \: base \: of \: the \: cylinder , \\ \rm \: r = 0.7 \: m \\ \\ \underline{ \sf \: we \: have \: to \: find \: : } \\ \\ \rm \to \: height \: of \: the \: circular \: cylinder \: = h\end{array}}}}$

We know that,

$\blue{ \boxed{\boxed{\begin{array}{cc} \sf \: \to \:Curved \: surface \: area \: of \: cylinder, \\ \\ \sf \: C.S.A = 2\pi \: r \: h \end{array}}}}$

According to the question,

${ \boxed{\boxed{\begin{array}{cc} \rm \: 2\pi \: r \: h =4.4 \\ \\ \rm \implies\:2 \times \frac{22}{7} \times 0.7 \times h = {4.4}{} \\ \\ \rm \implies\:h = \frac{4.4 \times 7}{2 \times 22 \times 0.7} \\ \\ \rm \implies\:h = 1 \: m\end{array}}}}$

So,

Height of the circular cylinder h = 1 m