Answer :

Given:

Diameter = 56 cm = 0.56m


Height of cylindrical part = 6 m


Total Height = 27 m



Diameter = 0.56 m


Radius = 1/2 × 0.56 m = 0.28 m


Also,


Height of conical part = Total height – Height of cylindrical part


Height of conical part = 27 m – 6 m


Height of conical part (h) = 21 m


Clearly,


Total Surface Area of canvas = Curved surface area of cylinder + Curved surface area of cone …(1)


Curved surface area of cylinder = 2πrh



Curved surface area of cylinder = 2 × 22 × 0.04 ×6


Curved surface area of cylinder = 10.56 m2


Curved surface area of cone = πrl …(2)


(where, l = slant height)


To find l,


l2 = r2 + h2


l2 = 0.282 + 212


l2 = 0.0784 + 441


l2 = 441.0784


l = √441.0784 ~ 21


l = 21 cm


Put the value of l in (2),



Curved surface area of cone = 22 × 0.28 × 3


Curved surface area of cone = 18.48 cm2


Putting all the values in (1),


Total Surface Area of remaining solid = 10.56 cm2 + 18.48 cm2


Total Surface Area of remaining solid = 29.04 cm2


Hence, Total Surface Area of canvas = 29.04 cm2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses