Question

The radius of sphere is
3.5cm: Find its surface
area and volume.
​

Answer 1

Step-by-step explanation:

4/3πr³

That's your answer..

Follow me..

Answer 2

Given: Radius of sphere = 3.5 cm

Need to find: Surface Area and Volume of sphere.

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━

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

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

$:\implies\sf TSA_{\;(sphere)} = 4 \times \dfrac{22}{ \cancel{7}} \times \cancel{3.5} \times 3.5$

$:\implies\sf TSA_{\;(sphere)} = 4 \times 22 \times 0.5 \times 3.5$

$:\implies\sf TSA_{\;(sphere)} = 4 \times 22 \times 1.75$

$:\implies{\underline{\boxed{\frak{\purple{TSA_{\;(sphere)} = 154\;cm^2}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Total\;surface\;area\;of\;sphere\;is\; \bf{154\;cm^2}.}}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━

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

$:\implies\sf Volume_{\;(sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times (3.5)^3$

$:\implies\sf Volume_{\;(sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel{7}} \times \cancel{42.875}$

$:\implies\sf Volume_{\;(sphere)} = \dfrac{4}{3} \times 22 \times 6.125$

$:\implies\sf Volume_{\;(sphere)} = \dfrac{88}{3} \times 6.125$

$:\implies{\underline{\boxed{\frak{\purple{Volume_{\;(sphere)} = 179.66\;cm^3}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Volume\;of\;sphere\;is\; \bf{179.66\;cm^3}.}}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━

$\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

Total surface area of hemisphere = 3πr²

Curved surface area of hemisphere = 2πr²

Volume of hemisphere = 4/3 πr³