In this page curved surface area solution3 we are going to see solution of some practice questions.

**Question 6**

The total surface area of a solid right circular cylinder is 1540 cm². If the height is four times the radius of the base, then find the height of the cylinder.

**Solution:**

Total surface area of cylinder = 1540 cm²

2 Π r (h + r) = 1540

h = 4 **x **radius of the base

h = 4 r

2 Π r (4 r + r) = 1540

2 Π r (5 r) = 1540

2 **x** (22/7) **x** 5 r² = 1540

= 1540** x** (1/2) **x** (7/22) **x** (1/5)

= (1540 **x **7)/(2** x** 22 **x** 5)

= (1540 **x **7)/(2** x** 22 **x** 5)

r² = 49

r = √7**x **7

r = 7 cm

height = 4 (7)

= 28 cm

**Height of the cylinder = 28 cm **

**Question 7**

The radii of two right circular cylinders are in the ratio 3:2 and their heights are in the ratio 5:3. Find the ratio of their curved surface areas.

**Solution:**

Let r₁ , r₂ and h₁ , h₂ are radii and heights of first and second cylinders respectively.

Now we have to find the ratio of their curved surface areas

Curved surface area of cylinder = 2 Π r h

Curved surface area of first cylinder = 2 Π r₁ h₁

Curved surface area of first cylinder = 2 Π r₂ h₂

r₁ : r₂ = 3 : 2

r₁/r₂ = 3/2

r₁= 3r₂/2

h₁ : h₂ = 5 : 3

h₁/h₂ = 5/3

h₁= 5h₂/3

Ratios of curved surface area of two cylinders

2 Π r₁ h₁ : 2 Π r₂ h₂

(3r₂/2) (5h₂/3) : r₂ h₂

5/2 : 1

5 : 2

curved surface area solution3 curved surface area solution3

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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