Question

**I WILL GIVE BRAINLIEST TO THE PERSON WHO CAN HELP ME/AND 40 POINTS**
The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?

Answer for Above: The volume of the mock-up would be 6 times smaller than the original one which means the radius of the tank would be divided by 6 which is 70/6=11.67. This would then be plugged into the equation for finding the volume of a tank and the answer is 215.7 or 216 which means that it is 3 times smaller.

I know the answer for the above, but I just need help with the below question:

Using the information from #4, answer the following question by filling in the blank: The volume of the actual tank is ____% of the mock-up of the tank.

Answer 1

Tank calculations :

Volume = 1/4(4/3 * pi * r^3)

r= 70 feet.

Volume = 1/4(4/3 * 3.14 * 70^3)

Calculating the values:

Volume = 359,000.67 ft.cubed

No we divide the actual radius by 6 to get the volume of scale model.

Hence,

6^3 = 216 times smaller.

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