In this page combination of solids solution5 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

**Question 5:**

Using clay, a student made a right circular cone of height 48 cm and base radius 12 cm. Another student reshapes it in the form of a sphere. Find the radius of the sphere.

**Solution:**

Height of the right circular cone (h) = 48 cm

Radius of right circular cone (r) = 12 cm

Volume of right circular cone = volume of sphere

(1/3) Πr²h = (4/3) Πr³

(1/3) r²h = (4/3) r³

(1/3) (12)²(48) = (4/3) r³

(1/3) **x **12 **x **12 **x**(48) = (4/3) r³

r³ = (1/3) **x **12 **x **12 **x** (48) **x** (3/4)

r³ = 3 **x **12 **x** (48)

r = ∛ 3 **x **3 **x** 4** x** 4 **x** 4 **x** 3

r = 3 **x** 4

r = 12 cm

Radius of sphere is 12 cm

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- 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