Question

In: Advanced Math

a spherical ice of initial volume 1000 cm^3 is melting at a rate 2 times the...

a spherical ice of initial volume 1000 cm^3 is melting at a rate 2 times the surface area. when does it completely melt? volume of the sphere of radius is r=4/3 pir^3 and surface area = 4pir^2 This is a ODE problems Thanks!

Solutions

Expert Solution


Related Solutions

value unit spherical volume (in^3) spherical volume (m^3) spherical volume (gallons^3) x in ? ? ?...
value unit spherical volume (in^3) spherical volume (m^3) spherical volume (gallons^3) x in ? ? ? So I'm being assigned the task of creating a custom conversion table that utilizes logical statements for the purpose of converting the given values from the input units into the other listed units within excel. I've tried a few, however, I don't know how to list multiple statements. For example, if B2, the user writes "m", then each of the corresponding spherical volume units...
A spherical snowball is melting in such a way that its radius is decreasing at rate...
A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 14 cm. (Note the answer is a positive number). When air expands adiabatically (without gaining or losing heat), its pressure PP and volume VV are related by the equation PV1.4=CPV1.4=C where CC is a constant. Suppose that at a certain instant the volume is 310310 cubic centimeters...
1. A spherical balloon is being inflated so that its volume increases at a rate of...
1. A spherical balloon is being inflated so that its volume increases at a rate of 1200cm^3 per minute. How fast is its radius increasing at the moment when the radius is 20cm? Recall that the volume of a sphere is given by V = 4/3πr^3 2. Which of the following is the linear approximation of the function f ( x ) = 2e^sin (7x) at x = 0? Group of answer choices y=cos⁡(7)x+2 y=7x+2 y=14x+2 y=2x+7 y=e^7x+14 3. Recall...
Use spherical coordinates to find the volume of solid within the sphere x^2 + y^2 +...
Use spherical coordinates to find the volume of solid within the sphere x^2 + y^2 + z^2 = 16 and above the cone 3z^2 = x^2 + y^2 and lying in the 1st octant.
1. What is the mean of the sample values 2 cm, 2 cm, 3 cm, 5...
1. What is the mean of the sample values 2 cm, 2 cm, 3 cm, 5 cm, and 8 cm? 2. What is the median of the sample values listed in Exercise 1? 3. What is the mode of the sample values listed in Exercise 1? 4. If the standard deviation of a data set is 5.0 ft, what is the variance? 5. If a data set has a mean of 10.0 seconds and a standard deviation of 2.0 seconds,...
Suppose: 1) 1 year futures price=$1000, 2) interest rate = 0%, and 3)for K=$1000, the premium...
Suppose: 1) 1 year futures price=$1000, 2) interest rate = 0%, and 3)for K=$1000, the premium on a 1 year call (C) is $100 and on a 1year put (P) $150. a. Does put-call parity hold? If not, relative to each other which option is overpriced and which underpriced? b. Describe a profitable and risk free arbitrage, that is, what would you long today and what would you short? c. For your arbitrage described in question b. what are your...
Another planet has the same spherical radius as Earth, but has 3 times Earth's density. (a)...
Another planet has the same spherical radius as Earth, but has 3 times Earth's density. (a) What is the mass of this other planet? (b) what is its gravitational acceleration
A piston encloses 1 lbm of water in an initial volume of 0.3 ft^3. The initial...
A piston encloses 1 lbm of water in an initial volume of 0.3 ft^3. The initial temperature is 120F. The piston leaves the stops at a pressure of 150 psia. The water is heated from it's initial state to a final temperature of 400F. a) Draw the process on a P-v diagram with respect to saturation lines. b) Evaluate the work done by the H2O. c) Determine the volume occupied by the liquid at the initial state and when the...
The volume of a sphere increases at 2.5 cubic cm/s. Calculate the rate at which the...
The volume of a sphere increases at 2.5 cubic cm/s. Calculate the rate at which the area of the sphere changes when the diameter is 12 cm.
A spherical rock (R= 19 cm, p=3350 kg/m^3) is attached to the end of a copper...
A spherical rock (R= 19 cm, p=3350 kg/m^3) is attached to the end of a copper wire (diameter 3 mm, effective length of 1.21 m) and then revolved in a circular path in a vertical plane with a period of 0.97 s. Determine the maximum and the minimum length of the copper wire. (You may assume the path remains circular and the motion is uniform).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT