Aspherical snowball with an outer layer of ice melts so that the volume of the snowball...
If a snowball melts so that its surface area decreases at a rate of 0.4 cm /min, find the rate at which the diameter decreases when the diameter is 9 cm.
A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 18 cm. (Note the answer is a positive number). min 4 Hint: The volume of a sphere of radius ris V Question Help: D Video
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
A balloon is being inflated so that its volume is increasing at a constant rate of 200 c.c. per second. How fast is the radius increasing when the radius is 15 cm? Note that the volume is given by v=(4/3)π r^3.
show work 4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius 4 changing when the radius is 4 cm? (Volume of a sphere: V =
A pool shaped like the bottom half of a sphere is being filled at a rate of 28 cubic feet per minute. The radius of the pool is 15 feet. Find the rate at which the depth of water is changing when the water has a depth of 2 feet. (Hint: The volume for the cap of a sphere is V =,haR_h) where R is the radius of the sphere and h is the depth of the cap.) ft/min help...
(10 points) 5.) A spherical ice ball is melting, and its radius is decreasing at a rate of 0.8 millimeters per minute. At what rate is the volume of the ice cube decreasing when the radius of the sphere is equal to 12 millimeters? Give your answer correct to the two decimal places. Include units in your answer. (The volume of a sphere is given by V = ir, and remember that it is a number just like
A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft 3/min. How fast is the radius of the balloon increasing when the radius is 1 ft?
please show steps thank you 3. A manufacturer estimates that the profit in dollars from producing x yards of a certain fabric will be P(x)= 50x -0.03x’ – 600. How many yards should she produce to yield a maximum profit? 4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius changing when the radius is 4 cm? (Volume of a sphere: V = r')