In this page volume solution8 we are going to see solution of each questions of the worksheet volume worksheet2.

**Question 18**:

The volume of a solid hemisphere is 1152 Π cu.cm. Find its curved surface area.

**Solution:**

Volume of hollow sphere = 1152 Π

(2/3) Π r³ = 1152 Π

r³= 1152 Π (3/2Π)

= (576 **x** 3)/2

= 1728

r = ∛1728

r = ∛12 **x **12** x **12

= 12 cm

Curved surface area = 2 Π r²

= 2 Π (12)²

= 2 Π (144)

= 288 Π cm³

**Curved surface area = 288 Π cm³**

**Question 19**:

Find the volume of the largest right circular cone that can be cut of a cube whose edge is 14 cm.

**Solution:**

Since it is cube length of all sides will be equal that is 14 cm. Diameter and height of cone are 14 cm

r = 14/2

r = 7

h = 14 cm

Volume of cone = (1/3) Π r² h

= (1/3) x (22/7) x (7)² (14)

= (1/3) x (22) x (49) x 2

= (49 x 44)/3

= 2156/3

= 718.67 cm³

**Volume of cone = 718.67 cm³**

**Question 20**:

The radius of a spherical balloon increase from 7 cm to 14 cm as air is being pumped into it. Find the ratio of volumes of the balloon in the two cases.

**Solution:**

**Let r**₁ and r₂ are the radii of two spherical balloon

**r**₁ : r₂ = 7 : 14

Volume of one spherical balloon = (4/3) Π r³

(4/3) Π (7)³ : (4/3) Π (14)³

(7)³: (14)³

7 x 7 x 7 : 14 x 14 x 14

1 : 8

volume solution8 volume solution8

- Area
- Curved Surface Area
- Total Surface Area
- Volume
- Cylinder
- Conoid (Cone)
- Sphere
- Problems on Curved Surface Area
- Problems on Total Surface Area
- Problems on Volume
- Formulas For Shapes
- Perimeter of Sector
- Perimeter of Sector Worksheets
- Length of Arc
- Practice questions on length of arc
- Perimeter of square
- Perimeter of Parallelogram
- Perimeter of Rectangle
- Perimeter of a Triangle
- Area of a Circle
- Area of Semicircle
- Area of Quadrant
- Area of a Sector
- Area of a Triangle
- Area of Equilateral Triangle
- Area of Scalene Triangle
- Area of Square
- Area of Rectangle
- Area of Parallelogram
- Area of Rhombus
- Area of Trapezium
- Area of Quadrilateral
- Area Around Circle
- Path Ways
- Combined Figures