1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In air , a metallic sphere with an internal cavity weighs 40g and in water weighs 20g . the volume of the cavity if the density of material with cavity is 8g/cm^3

Open in App
Solution

## You can find volume of metal when ball is in air and volume of ball when ball is immered in water. So. difference of two volume will give the answer. now volume = weight / density. when ball is in air; volume of metal = (40 gm) / (8 gm/cm³) = 5 cm³ when ball is in water; weight of water = 40gm - 20 gm = 20 gm so, volume of ball = 20gm / (1gm/cm³) = 20 cm³. So, volume of cavity = 20 - 5 = 15 cm³. First calculate volume of solid part for weight in air and denisty of material. Vs=5 cm³. When it is placed in water net pward force=net downward force => 40g-(V+Vs)g=20g =>V+Vs=20 therefore V=20-Vs =15cm³

Suggest Corrections
7
Join BYJU'S Learning Program
Related Videos
Surface Tension
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program