A sphere has a surface area of 4m^2, radius r. Another sphere has radius 2r. Calculate the Volume of the second sphere in M^3.

The surface area of a sphere can be calculated using Area = 4 x Pi x r^2. Since we know the surface are of the first sphere is 4m^2, we can write: 4 = 4 x Pi x r^2. This simplifies to r^2 = 0.318. Taking the square root we find that r = 0.564m. The radius of the larger sphere is therefore 2 x 0.564 = 1.128m. Using the formula for the volume of a sphere: (4/3) x Pi x r^3, we can calculate the volume of the second sphere to be 6.018m^3

FW

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations y=2x and y=x+3


The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.


Factorise 15a^2 + ab - 6b^2


Multiply and simplify the following: (x-8)^2