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Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones =
=
=
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Answer: 1/4 full.
Step-by-step explanation:
The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.
There is currently 3/4 of the tank remaining.
To find 2/3 of 3/4, you can multiply the fractions together.
Do this by multiplying both numerators and both denominators:
Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).
3/4 - 2/4 = 1/4
There will be 1/4 of the tank left.