H8upurpkaykochessy H8upurpkaykochessy
  • 24-11-2016
  • Physics
contestada

The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 60 mm?

Respuesta :

Edufirst
Edufirst Edufirst
  • 28-11-2016
V = [4/3]π r^3 => [dV / dr ] = 4π r^2

[dV/dt] = [dV/dr] * [dr/dt]

[dV/dt] = [4π r^2] * [ dr/ dt]

r = 60 mm, [dr / dt] = 4 mm/s

[dV / dt ] = [4π(60mm)^2] * 4mm/s = 180,955.7 mm/s 


Answer Link

Otras preguntas

What is the value of x in the equation 2⁽³ˣ⁾ = 2⁽ˣ⁺⁸⁾?
In the poem to two viewpoints on what is “the truth” he died to learn
A sample of aluminum at 18.0°C is warmed to 137.0°C when 835 cal of heat is added. What is the mass of the aluminum? (Caluminum= 0.22 kcal/kg°C) What is the mas
Please help me with this if you know how too ive been stuck on this stuff all day
Elsa went to buy movie tickets for spending the weekend with her family. The price of one ticket for children less than 10 years old was $3 and that for adults
State 2 criteria of purity​
The actual demand and forecast demand for January is 27 and 47 respectively. What is the forecast error?
7.- Un automóvil que viaja al Este aumenta su velocidad de 30 km/h a 60 km/h en 4 segundos, si se considera que su aceleración fue constante. Calcular: a) Su ac
The following question references the novel The Three Musketeers by Alexandre Dumas. Who is actually Athos' wife? a. Madame Bonacieux (Constance) c. Kitty d. Ma
It is a variety show that consist of comedic and dramatic skits in songs and dances.