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a) A cone has a radius of 7.2 cm
and a height of 9.7 cm.
By rounding all numbers to the
nearest whole number, work out an
estimate for the volume of the cone.
(2marks)

Respuesta :

Lanuel

By rounding up the numbers to the nearest whole, the volume of the cone is 490 [tex]cm^3[/tex].

Given the following data:

  • Radius of cone = 7.2 cm
  • Height of cone = 9.7 cm.

To work out an  estimate for the volume of the cone:

First of all, we would round up the numbers to the nearest whole:

  • Radius = 7.2 = 7 cm
  • Height = 9.7 = 10 cm
  • Pie = 3.142 = 3.

Mathematically, the volume of a cone is given by the formula:

[tex]Volume = \frac{\pi r^2h}{3}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Volume = \frac{3 \times 7^2 \times 10}{3}\\\\Volume = \frac{30 \times 49 }{3}\\\\Volume = 10 \times 49[/tex]

Volume = 490 [tex]cm^3[/tex]

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