Question

the curved surface area of a sphere is 2826 cm 2. calculate its radius and it volume (the π = 3.14).

Answer 1

hope it will help you

Answer 2

$Let \:radius \:of \:a \: sphere = r \:cm$

$\boxed { \pink { Surface \:Area \:of \: sphere = 4\pi r^{2}}}$

$\implies Surface \:Area \:of \: sphere = 2826 \:cm^{2}$

$\implies 4\pi r^{2} = 2826$

$\implies 4 \times 3.14 \times r^{2} = 2826$

$\implies r^{2} = \frac{2826}{4 \times 3.14}$

$\implies r^{2} = 225$

$\implies r^{2} = 15^{2}$

$\implies r = 15 \:cm$

$\boxed { \orange {Volume \:of \: sphere = \frac{4}{3} \pi \:r^{3} }}$

$\implies Volume = \frac{4}{3} \times 3.14 \times 15^{3} \\= 4 \times 3.14 \times 5 \times 15 \times 15 \\= 14130 \:cm^{3}$

Therefore.,

$\red {Radius } \green {= 15\:cm }$

$\red {Volume } \green {= 14130\:cm^{3} }$

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