A solid in the shape of a cylinder surmounted on a hemisphere. If the diameterand the total height of the solid are 21cm 25.5 find the volume
Answers
Solution:
Let r and h are radius and height of the cylinder.
diameter of the hemisphere = 21 cm
radius of hemisphere (r) = (21)/2 = 10.5 cm
Total height of the solid shape = 25.5 cm
radius of hemisphere + height of the cylinder = 25.5
10.5 + h = 25.5
h = 25.5 - 10.5
h = 15 cm
To find the volume of the solid shape we have to find the sum of volume of hemisphere and volume of cylinder.
Volume of solid toy = Volume of hemisphere + Volume of cylinder
= (2/3) Πr³ + Π r² h
= Π r² [(2/3) r + h]
= (22/7) x (10.5)² [(2/3) 10.5 + 15]
= 22/7 x (10.5) x (10.5) [2(3.5) + 15]
= 22 (1.5) x (10.5) [7 + 15]
= 33 x (10.5) [22]
= 99 [18.5]
= 7623 cm³
Volume of solid shape = 7623 cm³
Answer:
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