# Chirag made a bird - bath for his garden in the shape of a cylinder with a hemispherical depression at one end, (see the figure 14.11). The height of the cylinder is 1.5 m and its radius is 50 cm. Find the total area of the bird - bath. (π = 3.14)

Given.

A vessel is made by depressing hemisphere on cylinder

The radius of the hemisphere is 50 cm

Height of the cylinder is 150 cm

Formula used/Theory.

Curve surface area of Cylinder = 2πrh

Curve surface area of Hemisphere = 2πr2

As we put hemisphere in Cylinder

Area of bird - bath is sum of CSA of both hemisphere and cylinder

Area of Bird - bath = CSA of cylinder + CSA of Hemisphere

= 2πrh + 2πr2

= 2πr[h + r]

TSA of toy = 2 × 3.14 × 50 × [150 + 50]

= 2 × 3.14 × 50 × [200]

= 62800 cm2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and Volumes42 mins
Surface Area and Volume49 mins
Areas Related to Circle36 mins
Quiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level Concepts41 mins
Idioms and Phrases43 mins
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
view all courses