In this page volume solution1 we are going to see solution of each questions of the worksheet volume worksheet1.

**Question 1**:

Find the volume of a solid cylinder whose radius is 14 cm and height is 30 cm.

**Solution:**

We need to find the volume of the solid cylinder.

Radius of the cylinder = 14 cm

Height of the cylinder = 30 cm

Volume of the right circular cylinder = Π r² h

= (22/7) **x** (14)² **x** (30)

= (22/7) **x** (14) ** x** (14)

= (22) **x** (2) ** x** (14)

= 18480 cubic.cm

**Volume of the cylinder = 18480 cubic.cm**

**Question 2**:

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm,then find the quantity of soup to be prepared daily in the hospital to serve 250 patients?

**Solution:**

We need to find the volume of the solid cylinder.

Radius of the cylinder = (7/2) cm

Height of the cylinder = 4 cm

To find quantity of soup in one bowl we have to find the quantity of each bowl.

Volume of the right circular cylinder = Π r² h

= (22/7) **x** (7/2)² **x** (4)

= (22/7) **x** (7/2) **x** (7/2) **x** (4)

= (22) **x** (7)

Volume of soup in one cylindrical bowl = 154 cm³

Volume of soup in 250 cylindrical bowl = 250 **x **154

= 38500 cm³

1000 cm³ = 1 L

Therefore required quantity of soup = 38500/1000

= 38.5 L

**Required quantity of soup for 25 patients = 38.5 L**

**Question 3**:

The sum of the base radius and the height of a solid cylinder is 37 cm. If the total surface area of the cylinder is 1628 sq.cm, then find the volume of the cylinder.

**Solution:**

Let r and h are the radius and height of the cylinder respectively

Sum of radius and height = 37

r + h = 37 cm

Total surface area of cylinder = 1628 sq.cm

2 Π r (h + r) = 1628

2 Π r (37) = 1628

2 Π r = 1628/37

2 Π r = 44

2 **x** (22/7) **x** r = 44

r = 44 **x **(1/2) **x** (7/22)

r = 7

7 + h = 37

h = 37 - 7

h = 30 cm

Volume of the right circular cylinder = Π r² h

= (22/7) **x** (7)²** x** (30)

= (22/7) **x** (7)** **** x** (7)

= (22) **x** (7) **x** (30)

= 4620 cm³

**Volume of cylinder = 4620 cm³ **

volume solution1 volume solution1

- Back to worksheet
- 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