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
Answered by Freddie W. Maths tutor

3031 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I factorise quadratic equations?


How do I work out the nth term?


How do you factorise a quadratic equation where the coefficient of x² isn't 1?


simplify 7(3y-5) - 2(10 + 4y)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning