Question

the radius of a sphere is 7 cm find its surface area and volume​

Answer 1

4πr²

4×22/7×7×7

88×7

616 ans

Answer 2

Given: Radius of sphere = 7 cm

Need to find: Surface Area and Volume of sphere.

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━

$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{Total\;surface\;area_{\;(sphere)} = 4 \pi r^2}}}}$

$:\implies\sf TSA_{\;(sphere)} = 4 \times \dfrac{22}{ \cancel{7}} \times \cancel{7} \times 7$

$:\implies\sf TSA_{\;(sphere)} = 4 \times 22 \times 7$

$:\implies\sf TSA_{\;(sphere)} = 88 \times 7$

$:\implies{\underline{\boxed{\frak{\purple{TSA_{\;(sphere)} = 616\;cm^2}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Total\;surface\;area\;of\;sphere\;is\; \bf{616\;cm^2}.}}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━

$\star\;{\boxed{\sf{\pink{Volume_{\;(sphere)} = \dfrac{4}{3} \pi r^3}}}}$

$:\implies\sf Volume_{\;(sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times (7)^3$

$:\implies\sf Volume_{\;(sphere)} = \dfrac{4}{3} \times \dfrac{22}{{\cancel 7}} \times {\cancel 7} \times 7 \times 7$

$:\implies\sf Volume_{\;(sphere)} = \dfrac{4312}{3} </p><p>$

$:\implies{\underline{\boxed{\frak{\purple{Volume_{\;(sphere)} = 1437.33\;cm^3}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Volume\;of\;sphere\;is\; \bf{1437.33\;cm^3}.}}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━