Question

1) Find the volume of each cone.a. Estimate using 22 꼭 for n. Express theanswer as a fraction.

Answer 1

Volume of the cone = 50.29 mm³

Step-by-step explanation:
`\text{Volume = 1/3}\pi r^2\text{ h}`

radius = r = ?

height = 3mm

slant height = 5mm

To get the radius, we would apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = 5mm

opposite = 3mm

adjacent = radius = ?

5² = 3² + radius²

25 = 9 + radius²

25 - 9 = radius²

16 = radius²

radius = √16

radius = 4

`\text{Volume of the cone = }(1)/(3)*(22)/(7)*4^2*3`
`\text{Volume of the cone = }50.29mm^3`