Differentiate.
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The volume V, in cubic inches, of a spherical balloon depends on its radius r, measured in inches. The relationship is
.
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A: Make a graph of the volume of the balloon versus the radius. Include radii up to 10 inches.B: What is the radius of the balloon if its volume is 496 cubic inches? Round your answer to two decimal places if necessary.C: If one balloon has twice the radius of another balloon, how do their volumes compare?
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What will be an ideal response?
Solve.A pile of sand is cone-shaped. If the radius of the base is 8 feet and the altitude is 9 feet 6 inches, how many cubic feet of sand is in the pile? Round to the nearest tenth.
Fill in the blank(s) with the appropriate word(s).
Find the derivative of y with respect to x, t, or ?, as appropriate.y = ln (4?e-?)
A. ln (4e-?(1-?))
B. 
C. e?
D. 
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Solve the problem.Which of the lines in the picture are lines of symmetry of the given figure?
A. r and t B. r C. q and s D. q, r, s, and t