The volume of a sphere is increasing at a rate of 6π cubic centimeters per hour. at what rate, in centimeters per hour, is its diameter increasing with respect to time at the instant the radius of the sphere is 3 centimeters.

a: 1/3
b: 1
c: √6
d: 6

 Diameter is increasing as centimeter per hour.

Step-by-step explanation:

Alright, lets get started.

The formula for volume of sphere is given as V :

The volume of a sphere is increasing at a rate of cubic centimeters per hour.

It means :

Taking derivative with respect to t

at the instant the radius of the sphere is 3 centimeters, means

As

Hence diameter is increasing as centimeter per hour.   : Answer

Hope it will help :)

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: