Since is constantwith respect to the derivativeof with respect to is. Formula in terms of radius is.
Multiplythe numeratorby the reciprocalof the denominator.
V 4 3pir 3. R3 3v 4p r 3 3 v 4 p take the cube root of both sides of the equation to eliminate the exponent on the left side. V 4 3 pi r 3 in plain english the volume of a sphere can be calculated by taking four thirds of the product of radius r cubed and pi. Rewrite the equation as.
Solve for r v 1 3pir 2h. Our math solver supports basic math pre algebra algebra trigonometry calculus and more. Tap for more steps.
Rewrite the equationas. Tap for more steps. The volume v of a sphere is a function of its radius r where v 4 3pir 3.
Multiply both sides of the equation by. Simplify both sides of the equation. Cancel the common factor of.
Find the derivative v r 4 3pir 3. R 3 3v 4p r 3 v 4 p 3 simplify 3 3v 4p 3 v 4 p 3. Solve for r v 4 3pir 3.
Multiply the numerator by the reciprocal of the denominator. Express the volume as a function of the diameter d. Tap for more steps.
Tap for more steps. You can approximated pi using. The formula for volume of a sphere is v 4 3pir 3 where r is the radius of the sphere.
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Find the inverse of the function and explain what purpose v 1 x serves. Differentiate using the powerrule which states that is where. Solve your math problems using our free math solver with step by step solutions.
If the number you are given for the radius does not have a lot of digits you may use a shorter approximation. Move to the left of. V 4 3 pi r 3.
If the radius you are given has a lot of digits then you may need to use a longer approximation. Multiplyboth sides of the equationby. Simplify both sides of the equation.