Question

A sphere with diameter of 12 cm is being painted. How much more paint is now needed to paint the sphere that has four times the original diameter.
4 times more paint
B 8 times more paint
16 times more paint
D 64 times more paint

Answer 1

Answer:

64 times more paint will be needed since the volume of the second is 64 times the volume of the first

Step-by-step explanation:

If the original sphere is 12 cm diameter

its radius will be half this measure which is 12/2 = 6 cm

The new diameter is 4 times this, so its radius would be 4 times this and it is 24 cm

Now, the volume of the sphere means we have to raise the power of the radius by 3

The other terms in the formula remains the same for both, so we are simply comparing the radii

so we will have the difference in volume in times of multiples as ;

(24/6)^3 = 4 * 4 * 4 = 64