Question

6. The curved surface area of a right circular cylinder is 4.4 m². If the radius of its base is 0.7 m, find its (i) height and (ii) volume.​

Answer 1

Answer

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Answer 2

$\huge \colorbox{orange}{Correct \:Question :-}$

Find the height and volume of a right circular cylinder if it is curved surface area is 4.4 m²  and radius of base is 0.7 m  

$\huge \colorbox{orange}{Given :-}$

⇒ Curved Surface Area of a right circular cylinder = 4.4 m²

⇒ Radius of Base = 0.7 m²  

$\huge \colorbox{orange}{To \: Find  :-}$

⇒  Height of  right circular cylinder

⇒ Volume of  right circular cylinder

$\huge \colorbox{orange}{Solution  :-}$

⇒ As we know that

$\sf Curved\: Surace\: Area\: of \: right \: circular\; Cylinder = 2\pi rh$

⇒ Let the height be $x$

→    $4.4 m^{2} = 2 \times \frac{22}{7} \times \ 0.7 \times x \\\\4.4 m^{2} = 2 \times \ 22 \times 0.1 \times x \\\\x = \frac{4.4}{22\times 2 \times 0.1} \\\\x = 1$

∴ Height of  right circular cylinder = 1 m

⇒ Now , we will find its volume :

$\sf Volume\:of\:a\:right\;Circular\:cylinder = \pi r^{2} h$

$= \frac{22}{7} \times 0.7 \times 0.7 \times 1 \\\\\\= 22 \times 0.1 \times 0.7 \times 1 \\\\= 1.54 \: m^{3}$

∴ Volume of  right circular cylinder = 1.54 m³