Question

3

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)

Answer 1

By rounding up the numbers to the nearest whole, the volume of the cone is 490 $cm^3$.

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:

$Volume = \frac{\pi r^2h}{3}$

Substituting the given parameters into the formula, we have;

$Volume = \frac{3 \times 7^2 \times 10}{3}\\\\Volume = \frac{30 \times 49 }{3}\\\\Volume = 10 \times 49$

Volume = 490 $cm^3$

Read more: https://brainly.com/question/15171467?referrer=searchResults