wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy.

Open in App
Solution

Given that the diameter of the common base of the cone and hemisphere is 7 cm.
∴ Radius of the cone (r ) = 7 cm
The total height of the toy is 31 cm.


The height of the cone (h) = 31 - 7 = 24 cm
Surface area of the hemisphere = 2πr2
= 2×227×7×7 = 308 cm2
Slant height of the cone (l) = r2+h2=72+242=625 = 25 cm

∴ Curved surface area of the cone = πrl=227×7×25 = 550 cm2
Hence,
Total surface area of the toy = Surface area of the hemisphere + Curved surface area of the cone
= (308 + 550) cm2= 858 cm2

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Area of Combination Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon