Mathematics: I will mark u as BRAINLIEST if RIGHT HELPP

D Step-by-step explanation: I took the test...

I will mark u as BRAINLIEST if RIGHT HELPP

Alayna1037

11.06.2020

The volume of water remaining in Abigail's cup is 8π cm³ or 25.1 cm³.

Step-by-step explanation:

Firstly, you have to find the volume of cone in which the water is fully filled into the cone. Using the volume formula, V = 1/3×π×r²×h :

$v = \frac{1}{3} \times \pi \times {r}^{2} \times h$

Let r = 3cm,

Let h = 8cm,

$v = \frac{1}{3} \times \pi \times {3}^{2} \times 8$

$v = \frac{1}{3} \times \pi \times 72$

$v = 24\pi \: {cm}^{3}$

Given that she wasted 2/3 of the water remaining 1/3 of the water in the cone. So you have to multiply by 1/3 to the total volume of cone :

$v = 24\pi \times \frac{1}{3}$

$v = 8\pi \: {cm}^{3}$

$v = 25.1 \: {cm}^{3} (3s.f)$

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