Find the Volume of the Indicated Region $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 100$

question 260

Multiple Choice

Find the volume of the indicated region.
-the region enclosed by the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 100$ and the cylinder $( x - 5 ) ^ { 2 } + y ^ { 2 } = 25$

• A) \(\frac { 2000 } { 9 } ( 3 \pi - 4 )\)
• B) \(\frac { 500 } { 3 } ( 3 \pi - 4 )\)
• C) \(\frac { 2000 } { 3 } ( 3 \pi - 4 )\)
• D) \(\frac { 625 } { 3 } ( 3 \pi - 4 )\)

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Definitions:

Maintenance Agreement

A contract between a service provider and a customer outlining the terms for the maintenance and repair of equipment over a specified period.

Implicit Lease Rate

The interest rate embedded in a lease agreement that equates the value of lease payments to the fair value of the leased asset.

Incremental Borrowing Rate

The interest rate a lessee would have to pay if, instead of leasing, they financed the purchase of an asset with a loan over a similar term.

Implicit Rate Of Interest

The interest rate embedded in a lease agreement, used to calculate the present value of lease payments and to establish the lease classification.