Find the volume of the portion of the solid sphere rhorholess than or equals≤55 that lies between the cones variant phiϕequals=StartFraction pi Over 4 EndFraction π 4 and variant phiϕequals=StartFraction 3 pi Over 4 EndFraction 3π 4.

Use the function value to find the indicated trigonometric value in the specified quadrant.function value quadrant trigonometric valuecsc(θ) = −4 iv cot(θ)cot(θ)=?

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?

The u-drive rent-a-truck company plans to spend $13 million on 320 new vehicles. each commercial van will cost $25 comma 000, each small truck $50 comma 000, and each large truck  $80 comma 000. past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?