Question

to find total surface area and volume of sphere of radius 6 cm

Answer 1

$\huge\mathcal{Heya}$

Given :-

Radius of the sphere = 6 cm

To find :-

Total Surface Area (TSA) of the Sphere = ?

Volume of the Sphere = ?

Solution :-

As we know that,

TSA = 4πr²

=> 4 × 22 / 7 × (6)²

=> 4 × 22 / 7 × 6 × 6

=> 452.57 cm²

Now,

Volume = 4 / 3 πr³

=> 4 / 3 × 22 / 7 × (6)³

=> 4 / 3 × 22 / 7 × 6 × 6 × 6

=> 2715.42 cm³

$\huge\mathbb{Hope \ this \ helps.}$

Answer 2

Given :

• Radius of the sphere = 6 cm

To Find :

• Total suface area of sphere
• Volume of sphere

Solution :

Total suface area of sphere :

$\large \boxed{\boxed{ \tt \pink{TSA_{sphere} = 4\pi {r}^{2} }}} \\ \\ \tt \implies 4 \times \frac{22}{7} \times 6 \times 6 \\ \\ \tt \implies \frac{3168}{7} \\ \\ \tt \implies452.5 \\ \\ \large \underline{\underline{\tt TSA_{sphere} = 252.5 \: {cm}^{2} }}$

Volume of the sphere :

$\large \boxed{\boxed{ \blue{ \tt volume_{sphere} = \frac{4}{3}\pi {r}^{3} }}} \\ \\ \tt \implies \frac{4 \times 22 \times 6 \times 6 \times \cancel6}{ \cancel3 \times 7} \\ \\ \tt \implies \frac{6336}{7} \\ \\ \tt \implies 905.14 \\ \\ \large\underline{ \underline{ \tt volume_{sphere} = 905.14 \: {cm}^{3} }}$