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 :)

i need the table so i can see

step-by-step explanation:

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: