Question

The base diameter of a cone is 2.5 m and its height is 5 m. Find its volume ?


please find this question ​

Answer 1

Answer:

Find the volume of a cone, whose diameter is 8 cm and the height is 11 cm.

Solution:

As in previous examples:

V = π ∙ r2 ∙ h / 3

r is the determine by D/2, which is: 8cm / 2 = 4cm, insert the value of r we have:

V = π ∙ 42 ∙ 11 / 3

V = 552.64/3 cm3

V = 184.21 cm3

Thus the volume of the cone is 184.21 cm3.

Answer 2

Answer:

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• Diameter of A cone = 2.5 m
• Height = 5 m

$\displaystyle\underline{\bigstar\:\textsf{According to the given Question :}}$

• First we shall find the radius of the cone which will be equal to half the diameter

$\displaystyle\sf :\implies Radius = \dfrac{Diameter}{2}$

$\displaystyle\sf :\implies Radius = \dfrac{2.5}{2}$

$\displaystyle\sf :\implies Radius = 1.25 \ m$

• So now we have the values of height and the radius of the cone. So we shall get our Answer by simply substituting them on the formula

$\displaystyle\sf \dashrightarrow Volume = \dfrac{1}{3} \pi r^2h$

$\displaystyle\sf \dashrightarrow Volume = \dfrac{1}{3} \times \dfrac{22}{7} \times 1.25^2 \times 5$

$\displaystyle\sf \dashrightarrow Volume = \dfrac{1}{3}\times \dfrac{22}{7} \times 1.5625\times 5$

$\displaystyle\sf \dashrightarrow Volume = \dfrac{1}{3} \times \dfrac{22}{7} \times 7.8125$

$\displaystyle\sf \dashrightarrow Volume = \dfrac{22}{21} \times 7.8125$

$\displaystyle\sf \dashrightarrow Volume = 1.04\times 7.8125$

$\displaystyle\sf \dashrightarrow \underline{\boxed{\sf Volume = 8.125 \ m^3}}$

$\displaystyle\therefore\:\underline{\textsf{Volume of the cone is \textbf{ 8.125 m \sf {}^3 }}}$