The volume V, in cubic inches, of a spherical balloon depends on its radius r, measured in inches. The relationship is
.
?
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?
?

What will be an ideal response?


A:

?

?

B: 4.91 inches.

?

C: The volume of the larger balloon is 8 times that of the smaller balloon.

?

?


Mathematics

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Provide an appropriate response.What is the difference between the graphs of y < mx + b and y ? mx + b?

What will be an ideal response?

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The area of a spherical polygon of n sides on a sphere of radius r is given by where ? is the sum of the measures of the angles of the polygon in degrees. Use the formula to find the area of a spherical quadrilateral with angles of 84°, 84°, 111°, and 111° on the Earth, which has a radius of 1980 miles. Round to the nearest 10,000 square miles.

Mathematics