wiz-icon
MyQuestionIcon
MyQuestionIcon
139
You visited us 139 times! Enjoying our articles? Unlock Full Access!
Question

A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius.The radius of hemisphere is 3.5 cm and the total wood used in the making of toy is 16656cm3.Find the height of the toy.Also,find the cost of painting the hemispherical part of the toy at the rate of Rs.10 per cm2.(Take π= 22/7)

Open in App
Solution

Solution:

Given that,

Radius of the hemisphere = 3.5 cm

Volume of the solid wooden toy = 16656cm3

As, Volume of the solid wooden toy = Volume of the cone + Volume of the hemisphere = 16656cm3

13×πr2L+23×πr3=10016

13×π3.52L+23×π3.53=10016

L + 7 = 13

L = 6 cm

Height of the solid wooden toy = Height of the cone + Radius of the hemisphere

= 6 + 3.5

= 9.5 cm

Now, curved surface area of the hemisphere = 2πR2=2π×(3.5)2 = 77 cm2

Cost of painting the hemispherical part of the toy = 10 77 = Rs. 770


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
They Love Death - Fungi
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon