How do you find the ratio of a curved surface area and total surface area?

1 Answer

1. Let r be the radius and h be the height of a right circular cylinder, then Curved surface area = 2πrh. and total surface area = 2πrh x 2πr2 = 2πr(h + r) But their ratio is 1 : 2.
2. ∴ 2πr/2πr(h + r) = 1/2 ⇒ h/(h + r) = 1/2.
3. ⇒ 2h = h + r ⇒ 2h – h = r.
4. ⇒ h = r = 1 : 1.
5. Hence their radius and height area equal.

What is the ratio of curved surface area of the larger filter to that of the smaller filter * 1 point?

The ratio between the curved surface area and the total surface area of a a cylinder is 1:2.

What is the ratio of curved surface area of the cylinder with equal height?

The ratio of curved surface area of two cylinders having the same height is 5:6. The ratio of their volumes will be equal to. 5 : 6.

What is the ratio of the CSA of the cylinder to its volume?

the ratio between the curved surface and total surface of a cylinder is 1:2.

What is the formula of CSA of Cone?

The curved surface area of the cone can be given by finding the area of the sector by using the formula, Area of the sector (in terms of length of arc) = (arc length × radius)/ 2 = ((2πr) × l)/2 = πrl. ∴ The curved surface area of a cone, S = πrl units2.

How do you find the ratio of a cylinder to surface area?

It gives the proportion of surface area per unit volume of the object (e.g., sphere, cylinder, etc.)….How to calculate surface area to volume ratio?

Shape	Cylinder
Surface area	2πR(R+H)
Volume	πR2H
Surface area to volume ratio	2(R+H)/(RH)

What is the ratio of volumes of a right circular cylinder and a right circular cone having equal bases and equal heights?

Hence,the ratio of the volume of a right circular cylinder and a right circular cone of the same base and height is 3 : 1.

What is the ratio of surface areas of cylinder and cone?

We know the ratio of Curved surface area of cylinder and cone is 8:5.