Question

The curved surface area of a cylinder is 1,320 cm sq and its base has radius of 10.5 cm find the height of the cylinder.​

Answer 1

☯︎ Aɴsᴡᴇʀ

we have,

• curved surface area of a cylinder, CSA = 1320 cm²
• radius of base of a cylinder, r = 10.5 cm

we know that,

$\underline{ \boxed{ \bold{CSA \: of \: cylinder \: = 2\pi rh}}}$

$\bold{ : \implies 1320 = 2 \times \frac{22}{ \cancel{7}} \times \cancel{ 10.5 }\times h } \\ \\ \ \ \bold{ : \implies1320 = 2 \times 22 \times 1.5 \times h } \: \: \: \: \: \: \\ \\ \bold{: \implies \: h = \frac{ \cancel{1320}}{ \cancel{2 }\times 22 \times 1.5} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies \: h = \frac{ \cancel{660}}{ \cancel{22} \times 1.5} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ : \implies h = \frac{30}{1.5} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ : \implies \: \boxed{\bold{ h = 20}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

therefore, height of the cylinder is 20 cm