In this page curved surface area solution1 we are going to see solution of some practice questions.

**Question 1**

A solid right circular cylinder has radius of 14 cm and height of 8 cm. Find its curved surface area and total surface area.

**Solution:**

Radius of the cylinder (r) = 14 cm

Height of the cylinder (h) = 8 cm

Curved surface area of cylinder = 2 Π r h

= 2 **x** (22/7) **x** 14 **x** 8

= 2 **x** 22 **x** 2 **x** 8

= 704 sq.cm

Total surface area of cylinder = 2 Π r (h + r)

= 2 **x** (22/7) **x** 14 **x** (8 + 14)

= 2 **x** (22/7) **x** 14 **x** 22

= 2 **x** 22 **x** 2 **x** 22

= 1936 sq.cm

**Curved surface area = 704 sq.cm**

**Total surface area = 1936 sq.cm**

**Question 2**

The total surface area of a solid circular is 660 sq.m If its diameter of the base is 14 cm. Find the height and curved surface area of the cylinder.

**Solution:**

radius of the cylinder = 14/2 = 7 cm

Total surface area of cylinder** = **660 sq.m

2 Π r (h + r)** = **660 sq.m

2 **x** (22/7) **x** 7 **x** (h + 7) = 660

h + 7 = 660 **x** (1/2) **x **(7/22)** x **(1/7)

h + 7 = 15

h = 15 - 7

h = 8 cm

Curved surface area of cylinder = 2 Π r h

= 2 **x** (22/7) **x** 7 **x** 8

= 352 Sq.cm

**Height = 8 cm**

**Curved surface area = 352 sq.cm**

**Question 3**

Curved surface area and circumference at the base of a solid right circular cylinder are 4400 sq.cm and 110 cm respectively. Find its height and diameter.

**Solution:**

Curved surface area of cylinder = 4400 sq.cm

Circumference of the base = 110 cm

2 Π r = 110

2 **x** (22/7) **x** r = 110

r = 110** x **(1/2)** x **(7/22)

r = 17.5 cm

diameter = 2 r

= 2 (17.5)

= 35 cm

2 Π r h = 4400

110 **x**** ** h = 4400

h = 4400/110

h = 40 cm

**Height = 40 cm**

**Diameter of the cylinder = 35 cm**

curved surface area solution1 curved surface area solution1

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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