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Example: find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).To find the related rates, i.e. to find a relationship between the rates of change of x and y with respect to time, we can implicitly differentiate the equation above with respect to t. 2 x d x d t + 2 y d y d t = 0. This is the general relationship between the speed of x and y . When the particle is passing ( 3, 4) , then its velocity is d x d ...

We need to develop a relationship between the rate we're given, $\dfrac{dA}{dt} = -\pi$ in$^2$/min, and the rate we're after, $\dfrac{dr}{dt}$. We thus first need to write down a relationship between the sphere's area A and its radius r. But we know that relationship since it's a simple geometric fact for a sphere that you could look up ...

In order for a cell to grow, it must receive nutrients through its surface. Notice that the surface area is in square units and the volume is in cubic units, and that the volume should be directly related to the weight of the cell. In one model of the growth in weight of the cell, the rate of change of the weight is proportional to the surface ...

Calculate the average density of the earth in g/cm3, assuming our planet to be a perfect sphere.None ... using the radius of the earth.The mass of the Earth is given as The radius of the Earth is Using the geometric value of volume for a sphere, and using the radius of the earth, ... Related Questions.

3. (calculator not allowed) The volume of a cone of radius r and height h is given by r . If the radius and the height both increase at a constant rate of L centmeter per second, at what rate, in cubic centimeters per second, is the volume Increasing when the height is 9 centimeters and the radius is 6 centimeters? 247t (E) dkf 01b

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- To improve this 'Volume of a partial sphere Calculator', please fill in questionnaire. Age Under 20 years old 20 years old level 30 years old level 40 years old level ... Related Calculator. Volume of a cube. Edge length of a cube. Volume of a rectangular cuboid. Volume of a tetrahedron.
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- Answer to The radius of a sphere is decreasing at a constant rate of 2 inches per second. At the instant when the volume of the sphere is2343 2343cubic inches,

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This calculus video tutorial provides a few practice problems on related rates such as area, volume, circumference, and surface area.Topics include:1. Findi...Calculator online for a right circular cone. Calculate the unknown defining surface areas, heights, slant heights, volume, and radii of a cone with any 2 known variables. Online calculators and formulas for a cone and other geometry problems.1 Answer to A. Write a program to read the radius of a sphere from the user and calculate the volume of the sphere. Note: Volume of sphere = 4/3*3.14*r3 B. An ATM contains Indian currency notes of 100, 500 and 1000. To withdraw cash from this ATM, the user has to enter the number of notes he/she wants of each...

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Based on similar triangles we get the following equation which can be solved for r r. r h = 26 8 ⇒ r = 13 4 h r h = 26 8 ⇒ r = 13 4 h. Plugging this into the volume equation gives, V = 169 48 π h 3 V = 169 48 π h 3 Show Step 3. Next, let's differentiate this with respect to t t. V ′ = 169 16 π h 2 h ′ V ′ = 169 16 π h 2 h ...

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The volume of a cube is decreasing at a rate of 4.8 cm 3 /min. At the instant when the volume is 53.6 cm 3, calculate the following: (A) At what rate is the side changing? (B) At what rate is the surface area changing?