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755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

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Question is incomplete :

The speed, S, of a bicycle varies directly with the number of revolutions per minute, R, that the pedals turn and the number of teeth on the front gear, F, and inversely with the number of teeth on the back gear B.

Lars is racing at 24 miles per hour. His front gear has 52 teeth and a back gear has 14 teeth. He is pedaling 84 revolutions per minute. As he sprints for the finish line, he pedals 112 revolutions per minute. What is his speed?

32 mph

Step-by-step explanation:

Speed α number of revolutions α number of teeth on front gear α 1/teeth on back gear

Speed = S ; number of revolutions = R ; Number of teeth on front gear = F ; Number of teeth in back gear = B

S = k(R * F) / B

k = proportionality constant ;

24 = k(84 * 52) / 14

24 * 14 = 4368k

k = 336/4368

k = 0.0769230

Speed at R = 112

S = k(R * F) / B

S = 0.0769230(112 * 52) / 14

S = 447.999552 / 14

S = 31.999968

S = 32 mph