Question

if the lateral surface area of a cylinder is 64.2cm² and its height is 5 cm ,find the radius of its base​

Answer 1

Answer:

Hope this will help you......

Answer 2

Question:

if the lateral surface area of a cylinder is 64.2cm² and its height is 5 cm ,find the radius of its base.

Given:

$\tt \green{lateral \: surface \: area \mapsto {64.2cm}^{2} }$

$\tt \green{height \mapsto 5cm}$

Formula Used:

$\bf \pink{lateral \: surface \: area \: of \: cylinder \longrightarrow 2\pi r h }$

Solution:

$\purple\implies \sf \blue{lateral \: surface \: area \: of \: cylinder \longrightarrow 2\pi r h } \\ \\ \purple{ :\implies\sf \blue{ {64.2cm}^{2} = 2 \times \frac{22}{7 } \times r \times 5} } \\ \\ \\ \purple{:\implies}\sf \blue{ \frac{ {64.2 \times 7} }{2 \times 7 \times 22} = r } \\ \\ \purple{ :\implies}\sf \blue{ \frac{449.4}{220} = r} \\ \\ \purple{:\implies }\sf \orange{ \fbox \red{2.04cm}}$

Final Answer:

2.04cm