Solve.The following diagram shows a cone and its inscribed hemisphere, where the radius of the hemisphere is r and the height of the cone is h.  Use the formulas to find the ratio of the surface area of the hemisphere to the surface area of the cone.

A.
B.
C.
D.


Answer: D

Mathematics

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Solve the problem.Find the mass of the region of density  bounded by the hemisphere  and the xy-plane.

A. 16? B. 32? C. 8? D. 4?

Mathematics

Find the surface area of the surface S.S is the portion of the surface  that lies above the rectangle  and  in the x-y plane.

A. 24[40 + ln 9]
B. 16[40 + ln 9]
C. 8[40 + ln 9]
D. [40 + ln 9]

Mathematics

Solve the problem.The total solar radiation H (in W/m2) on a particular surface during an average clear day in one U.S. city is given by  where t is the number of hours from noon. Find a general expression which can be used to determine how fast the rate of change of solar radiation on the surface is changing at any given time (ie find d2H/dt2).

A.
B.
C.
D.

Mathematics

Find the probability. Round to the nearest ten-thousandth when necessary.A coin is biased to show 44% heads and 56% tails. The coin is tossed twice. What is the probability that the coin turns up tails on both tosses?

A. 0.12 B. 0.3136 C. 0.56 D. 0.44

Mathematics