Question

Solve this 2 quesTions................

Answer 1

Answer:

(2) 3054.86 cm³

(3) 616 cm²

Step-by-step explanation:

(2)

Surface area of a sphere = 1018(2/7) cm² = 7128/7 .

⇒ 4πr² = 7128/7

⇒ 4 * (22/7) * r² = 7128/7

⇒ 88r² = 7128

⇒ r² = 7128/88

⇒ r² = 81

⇒ r = 9 cm.

Volume

= (4/3) πr³

= (4/3) * (22/7) * (9)³

= (88/21) * 729

= 64152/21

= 21384/7

= 3054.86 cm³

Therefore,volume = 3054. 86 cm³.

(3)

Given, length of equator of globe = 44 cm

⇒ 2πr = 44

⇒ 2 * (22/7) * r = 44

⇒ 44r = 44 * 7

⇒ r = 7

Hence, radius of the globe = 7 cm.

Now,

Surface area of the globe = 4πr²

                                           = 4 * (22/7) * (7)²

                                           = 616 cm².

Therefore, Surface area = 616 cm².

Hope it helps!

Answer 2

Step-by-step explanation:

Given surface area of the sphere = 1018  2/7 cm²

⇒ 4πr² = 1018  2/7

⇒ 4 × 22/7 r² = 7128/7

⇒ 88/7× r² = 7128/7

⇒   r² = (7128/7) × (7/88)

⇒   r² = 7128/88

⇒   r² = 81

⇒   r = √81 = 9

∴Radius = 9cm

Volume of the sphere = 4/3πr³  

= 4/3  ×  22/7 × 9³

=88/21 × 729

=64152/21

=3054.9 cm³