A hollow sphere of external and internal diameters 16 cm and 8 cm respectively Find the volume and the outer surface area of hollow sphere.
Answers
Given : A hollow sphere of external and internal diameters 16 cm and 8 cm
To Find : The volume and the outer surface area of hollow sphere.
Solution:
Radius = Diameter /2
Surface area of sphere = 4π(Radius)²
Volume of sphere = (4/3)π(Radius)³
outer surface area of hollow sphere.
Outer Diameter = 16 cm
=> Outer Radius = 16/2 = 8 cm
outer surface area of hollow sphere. = 4π(8)²
= 256 π
use π = 3.14
= 256 ( 3.14)
= 803.84 cm²
outer surface area of hollow sphere. = 803.84 cm²
inner radius = 8/2 = 4 cm
Volume = outer Volume - Inner Volume
(4/3)π(8)³ - (4/3)π(4)³
= (4/3)π ( 512 - 64)
= (4/3)π ( 448)
= 1,875.62 cm³
Volume = 1,875.62 cm³
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Answer:
see the explanation
Step-by-step explanation:
Radius = Diameter /2
Surface area of sphere = 4π(Radius)²
Volume of sphere = (4/3)π(Radius)³
outer surface area of hollow sphere.
Outer Diameter = 16 cm
=> Outer Radius = 16/2 = 8 cm
outer surface area of hollow sphere. = 4π(8)²
= 256 π
use π = 3.14
= 256 ( 3.14)
= 803.84 cm²
outer surface area of hollow sphere. = 803.84 cm²
inner radius = 8/2 = 4 cm
Volume = outer Volume - Inner Volume
(4/3)π(8)³ - (4/3)π(4)³
= (4/3)π ( 512 - 64)
= (4/3)π ( 448)
= 1,875.62 cm³
Volume = 1,875.62 cm³
HOPE IT HELPED YOU :))