could you pls. provide me the formula of this problem?

Question

a subdivision tank has a radius of 4 m. and a height of 10 m. if the sides and bottom are to be painted , how much surface is to be painted?
what is the formula in finding the volume/surface area of a ball of radius?

Answer 1

the formula surface area iis: 4pi*R^2 , R=radius
the formula volume is: (4pi/3)*R^3 , R=radius

Answer 2

Your "tank" sounds like a cylinder, and the volume of a cylinder is given by the following formula:

V = pi * r^2 * h

And the surface area of a cylinder is given by the formula

S = (area of the top and bottom) + (area of the sides)
S = pi*r^2 + pi*r^2 + 2(pi)(r)(h)
S = 2pi*r^2 + 2(pi)(r)(h)

However, in your tank example, only the sides and bottom are painted. Therefore, our surface area calculation is

S = pi*r^2 + 2(pi)(r)(h)

Plugging in our values r = 4 and h = 10,

S = pi*(4)^2 + 2(pi)(4)(10)
S = 16pi + 80pi = 96pi

The volume of a sphere (or ball) is given by the following formula.

V = 4/3 pi * r^3

The surface area of a sphere is given by the formula

S = 4*pi*r^2

Answer 3

Theory:
The surface area of a sphere of radius 'r' is given by:

surface area = 4pier2