A cylindrical cooling sleeve for a beverage is filled with liquid for freezing. The sleeve is 1 cm thick; the inner radius of the sleeve is 4 cm, the outer radius of the sleeve is 5 cm and the height of the sleeve is 10 cm. How much liquid is needed? Give the exact answer.


180? cm3

Mathematics

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Write the negation of the conditional statement.If she can't take out the trash, I will.

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Mathematics

Solve the problem.A bathroom scale is compressed  in. when a 180 lb person stands on it. Assuming that the scale behaves like a spring that obeys Hooke's law, how much does someone who compresses the scale  in. weigh?

A. 45 lb B. 135 lb C. 90 lb D. 360 lb

Mathematics

Complete the identity.sin 2x - cot x = ?

A. cot x cos x B. -cot x cos 2x C. cot x cos 2x D. -tan x cos 2x

Mathematics

Find the 3rd term in the binomial expansion. ? ? Please enter your answer as a fraction.

What will be an ideal response?

Mathematics