Question

A glass cylinder with a radius 7 cm has water up to a height of 9 cm. A metal cube of 5 1/2 cm edge is immersed in ti completely. Calculate the height by which the water rises in the cylinder.

Answer 1

volume of cube = (5.5 cm)^3 = 166.375 cm^3

then our cylinder's height would increase by h , such that
π(49)h = 166.375
h = 1.081 cm

(note that the 9 cm depth of water did not enter the picture)

Answer 2

calculate the volume and total surface area of a right circular cylinder of height 1m and radius 70cm?

Answer 3

0.49m'3,2.38(3.14)

Answer 4

Give
h=1 m
r=0.7 m
solution
A=2*3.14*r(h+r) =6.28*0.7m(1m+0.7m)
=7.47 m^2
where A- total surface area
V=3.14*r^2h
=3.14*0.7*0.7*1
=1.54 m^3
where V- volume

Answer 5

volume of cube = (5.5 cm)^3 = 166.375 cm^3

then our cylinder's height would increase by h , such that
π(49)h = 166.375
h = 1.081 cm
So,h~1(h is approximately 1)

Answer 6

Yes, you are correct! Since the height of the water needed is very small compared to the height of the cylinder (9 cm), we can approximate the solution by taking h to be 1 cm.