In this page combination of solids solution2 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

**Question 2:**

A solid is in the shape of a cylinder surmounted on a hemisphere. If the diameter and the total height of the solid are 21 cm,25.5 cm respectively,then find its volume.

**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 cm****³ **

combination of solids solution2 combination of solids solution2

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- Area
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- Total Surface Area
- Volume
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