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

3272 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Amber has an unfair coin. The probability of throwing a tail is p. Amber throws the coin twice and the probability of throwing a head and then a tail is 6/25. Heads are more likely than tails. Show that 25p^2-25p+6=0 and find the value of p.


Probability: "Sock Drawer" style questions.


What is standard form?


Show that the recurring decimal 0.0151515..=1/66 (4H)


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:

© 2026 by IXL Learning