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

2819 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I solve these two equations simultaneously: 7x+y=1 and 2x^2 - y = 3


Expand and simplify 4(x+5) + 3(x-7)


How do you find the maximum and minimum value of a quadratic function with no use of calculus?


GCSE Maths: Expand and simpify 14(3x-7y)-2x(21-y)


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences