Question

Hershey’s is making pumpkin-shaped chocolates for Halloween. These are spherically formed with a radius of 2 cm. What is the minimum surface area needed for packaging? What is the volume? (leave pi in the answer ex. 2pi) How does surface area compare to the volume? (Sa/V and reduce)

Answer 1

Sa = 1.5*V

Explanation:

We have that the surface area of a sphere has the following formula:

Sa = 4*pi*r^2

we know that r = 2, so if we replace it, we're left:

Sa = 4*pi*(2^2)= = 4*pi*4

Sa = 16*pi

Now, the volume has the following formula:

V = 4/3*pi* r^3

Replacing it is our job:

V = 4/3*pi* (2^3) = 4/3*pi*8

V = 32/3*pi

Now, Sa/V, it would remain:

Sa/V = 16*pi / 32/3*pi

Sa/V = 48/32 = 1.5

Therefore, Sa = 1.5*V