Question

What is the volume of the cone to the nearest cubic meter? (Use ​π = 3.14.) Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.

Height: 5 m
Radius: 4 m

Answer 1

V≈83.78

Explanation:

The formula to find the volume of a cone is V=πr(squared) h/3

Steps

V= π (4)^2 5/3

V= π (16) 1.66666666667

V = 50.2654824574 * 1.66666666667

v= 83.7758040958

Round

V = 83.78

Answer 2

The volume of cone is 83.73m³.

Explanation:

Given Parameters:

• Height of the cone = 5m
• Radius of the cone = 4m

To find:

• Volume of the cone

Solution:

To find the volume of the cone we use Formula:

`\sf V = (1)/(3) \pi {r}^(2) h \\ \\ \implies \: (1)/(3) * 3.14 * {4}^(2) * 5 \\ \\ \implies (1)/(3) * 15.70* 16 \\ \\ \implies \: (1)/( \cancel3) * \cancel{251.20} \\ \\ \implies \sf \pink{83.73 {m}^(3) }`

Hence, the volume of cone is 83.73m³.