please answer me fast dear geniuses questions no 24 both??
Answers
Answer:
1437.3, 1642.67, 572
Step-by-step explanation:
(a)
Given, Radius of largest sphere = 7 cm.
We know that Volume of the sphere = (4/3) πr³
= (4/3) * (22/7) * (7)³
= (4/3) * (22) * 7²
= 1437.3 cm³
(b)
Diameter of hemisphere = 14 cm.
Then, radius = 7 cm.
Height of cylindrical portion = 13 - 7 = 6 cm.
∴ Volume of the vessel = Volume of hemisphere + Volume of cylinder
= (2/3)πr³ + πr²h
= (2/3) * (22/7) * 7³ + (22/7) * (7)² * 6
= (2 * 22 * 49)/3 + 22 * 42
= 718.67 + 924
= 1642.67 cm³
∴ Curved surface area of the sphere = 2πrh
= 2 * 22/7 * 7 * 6
= 264 cm².
∴ Curved surface area of hemispherical portion = 2πr²
= 2 * (22/7) * (7)²
= 308 cm².
Inner Surface area of the vessel = 264 + 308
= 572 cm²
Hope it helps!