Ask Your Teacher If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

The diameter decreases at the rate of 0.1768 cm/min when the diameter is 9 cm.

Step-by-step explanation:

A snowball is spherical, so it's area is given by the following formula:

The radius is half the diameter so:

If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

This is when

Applying implicit differentiation:

We have to variables(A and d), so:

The diameter decreases at the rate of 0.1768 cm/min when the diameter is 9 cm.

this doesn't make sense lol

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !