Question

A cone cylinder and hemisphere have equal radius and height. Find the ratio of total surface area of cylinder, cone and hemisphere.

Answer 1

Answer:

3 : √(2) + 1 : 3

Step-by-step explanation:

GIVEN : Radius of cone = Radius of Cylinder =

Radius of hemisphere = R

Height of cone = Height of Cylinder = H

AND R = H

TO FIND : Ratio of their Total Surface area

SOLUTION :

TSA of Cone(T1) = πrl + πr•r = πR(l+R)

TSA of Cylinder(T2) = 2πrh + 2πr•r. = πR(2H + R)

TSA of Hemisphere (T3) = 3πr•r. = πR(3R)

T2 : T1 : T3

πR(2H + R) : πR(l+R) : πR(3R)

2H + R : √(H•H + R•R) + R : 3R

3R : √(2) R + R : 3R

3 : √(2) + 1 : 3