I need to know what the volume of the cone in cubic inches please

Mathematics

1 answer:

ivolga24 [154]2 years ago

6 0

Answer:

V = 118 in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).

In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)

Using 3.14 as the approximate value of π, we get V = 118 in³

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8 0

2 years ago

(7)/(3) of it is 5 (5)/(6)

slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

$\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}$