DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 172)

Problem 1 :

In the figures above, both of the water tanks are in the shape of a right circular cone. If the larger tank can hold 125 gallons of water, how many gallons of water can the smaller tank hold?

A)  5

B)  25                 

C)  31.25           

D)  62.5

Solution :

Problem 2 :

In the figure above, right triangle RST bordered by three semicircles on each side. If the area of semicircle I is 8 and the area of semicircle II is 24, what is the length of ST?

Solution :

Problem 3 :

The graph of g is shown in the xy-plane above. If f(x) = 2g(x) – 5, what is the average rate of change of f(x) between -2 and 4?

Solution :

Problem 4 :

If the value of k^-5 is twice the value of 4k^-2, what is the value of k?

Solution :

Problem 5 :

In the figure above, a right cylinder is inscribed in a sphere with radius 10. If the radius of the circular base of the cylinder is 6, what is the volume of the cylinder?

A)  144π

B)  288π              

C)  576π              

D)  720π  

Solution :

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