A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.How much liquid can the filter hold without it overflowing?
A) π in³
B) 3π in³
C)12π in³
D)36 π in³
please answer this Thank you

Respuesta :

[tex] \huge ༆ \bf{Answer} ༄[/tex]

The liquid that the cone can store is its volume, So let's calculate the volume of cone

It is given by : -

  • [tex] \sf \: v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

radius = diameter ÷ 2 = 3 ÷ 2 = 1.5 in

height = 4 inches

  • [tex] \sf \: v = \dfrac{1}{3} \pi \times 1.5 \times 1.5 \times 4[/tex]

  • [tex] \sf \: v = \pi \times 1.5 \times 2[/tex]

  • [tex] \sf \: v = 3\pi \: \: in {}^{3} [/tex]

The liquid that the cone can hold without overflowing is 3π in³

[tex]꧁ \: \frak{Eternal \: Being } \: ꧂[/tex]