A cone has a radius of 4.96cm and a volume of 102cm cubed. Work out an estimate for the height of the cone. You must show your working

Respuesta :

Answer:

Height of cone = 3.89 cm ≈ 3.9 cm

Step-by-step explanation:

Radius of cone (r) = 4.96 cm ≈ 5cm

Volume of cone = 102 cm³

Height of cone= ?

Volume of cube = [tex]\frac{1}{3} \pi r^{2} h[/tex]

[tex]\frac{1}{3} \times \frac{22}{7} \times (5)^{2} \times h = 102[/tex]

[tex]\frac{22 \times 25 \times h}{3 \times 7} = 102[/tex]

h = [tex]\frac{102 \times 21}{22 \times 25}[/tex]

[tex]h = \frac{2142}{550}[/tex]

h = 3.894 ≈ 3.9 cm

Answer:

The answer is 4

Step-by-step explanation:

But the maths watch doesn't accept 4