the radius of a cylinder is doubled and height halved. find ratio of surface areas and volume in two cases
Answers
Step-by-step explanation:
search-icon-header
Search for questions & chapters
search-icon-image
Class 9
>>Maths
>>Surface Areas and Volumes
>>Surface Area of Right Circular Cylinders and Cones
>>In a cylinder, radius is doubled and hei
Question
Bookmark
In a cylinder, radius is doubled and height is halved, curved surface area will
Medium
Solution
verified
Verified by Toppr
Correct option is C)
Step 1: Using the given condition find Curved Surface Area of Cylinder
Let us assume r is the radius of cylinder and h is the height of cylinder
∴Curved surface area of cylinder is 2πrh.
If the radius is doubled and height is halved
⇒R=2r,H=
2
h
∴Curved surface area of the cylinder =2πRH
=2π(2r)(
2
h
)
=2πrh
Therefore, the curved surface area of the cylinder