Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

1.  A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Answers (1)

best_answer

Let us assume the height of the cylinder to be h.

Since the material is melted and recast thus its volume will remain the same.

So, Volume of sphere =  Volume of obtained cylinder.

                     \frac{4}{3}\pi r^3_s\ =\ \pi r^2_c h

            \frac{4}{3}\pi \times 4.2^3\ =\ \pi \times 6^2 \times h

                          h\ =\ \frac{4}{3}\times \frac{4.2\times4.2\times 4.2}{36}

                         h\ =\ 2.74\ cm

Hence the height of the cylinder is 2.74 cm.

 

Posted by

Devendra Khairwa

View full answer

Similar Questions

Trending Articles/News

anam-khan

Board Exam Date 2025 Live: Bihar Class 10, 12 model papers out, time table soon; updates on CBSE, UP
anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates

Latest Question