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Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

Answer:

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Step-by-step explanation:

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Two cones are similar. The volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. The height of the sm

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ANSWER

The height of the larger cone is 3cm

EXPLANATION

Since the two cones are similar we can use the scale factor to determine the height of the larger cone.

It was given that, the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³.

The scale factor for the volume is

${k}^{3} = \frac{27}{8}$

The scale factor for the length is

$k = \sqrt[3]{ \frac{27}{8} }$

$k = \frac{3}{2}$

To find the height of the larger cone, we multiply by

$h = \frac{3}{2} \times 2 = 3$

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A future value
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Answer: 21 1/8 kilogram

Step-by-step explanation:

From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:

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Note that the Lowest Common Multiple is 8.

= 3 6/8 + 7 2/8 + 10 1/8

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