# A regulation baseball (hardball) has a great circle circumference of 9 inches; a regulation softball has a great circle circumference of 12 inches. a. Find the volumes of the two types of balls. b. Find the surface areas of the two types of balls?

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a. To find the volumes of the baseball and softball, we use the formula for the volume of a sphere:

[ V = \frac{4}{3}\pi r^3 ]

Given that the great circle circumference is equal to the circumference of the sphere ((2\pi r)), we can find the radius ((r)) of each ball using the formula:

[ 2\pi r = \text{circumference} ]

From this, we can solve for (r). Once we have the radius, we can plug it into the formula for the volume of a sphere to find the volumes of the baseball and softball.

b. To find the surface areas of the baseball and softball, we use the formula for the surface area of a sphere:

[ A = 4\pi r^2 ]

We already have the radius ((r)) of each ball from part (a). Plugging it into the formula will give us the surface areas of the baseball and softball.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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