Q3 of 24 Page 236

The radius and height of a cylinder are in the ratio 4:7. Find the radius and height of the cylinder if it's volume is 1188cu cm. Also, find the total surface area.

We have given the ratio of radius and height 4:7


Let Radius (r) be 4x


And Height (h) be 7x


The Volume of cylinder = πr2 h


Given Volume of cylinder = 1188


⇒


⇒


⇒


⇒


⇒ x = 1.5


⇒ Radius (r) = 4x = 4 × (1.5)


= 6


Height (h) = 7x = 7 × (1.5)


= 10.5





= 622.03


So, TSA of given cylinder is 622.03cm2, radius is 6 cm and height is 10.5cm


More from this chapter

All 24 →
1

If the volume of a cube is 3√3 a3 then the total surface area of the cube is

 2

The radius and height of a cone are in the ratio 4:3. The area of its base is 154 cm. Find its CSA (Curved Surface Area).

 4

If the total surface area of the cube is 96cm2. Then find its volume.

 5

Calculate the edge of a cube if its volume is 1331 cm3