wiz-icon
MyQuestionIcon
MyQuestionIcon
8
You visited us 8 times! Enjoying our articles? Unlock Full Access!
Question

How many cylindrical glasses of diameter 8 cm and length 10 cm are required to fill a cylindrical bottle of radius 10 cm and height 32 cm?

A
20
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 20

Given, Solid: Cylinder
Length of glass, h=10 cm
Radius of glass, r=82=4 cm
Length of bottle, H=32 cm
Radius of bottle, R=10 cm

Let, number of glasses required to fill bottle be n

Volume of water bottle=n×Volume of glassnπr2h=πR2Hnr2h=R2Hn×42×10=102×32n=100 × 3216 ×10=20

Number of glasses required to fill bottle are 20.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Shape Conversion of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon