Answer: volume of cone = 90.5 cm³
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Height = 4.9 cm
Circumference of base = 8.4 cm
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Therefore
8.4 = 2 × 3.14 × r = 6.28r
r = 8.4/2 = 4.2 cm
Therefore,
Volume of cone = 1/3 × 3.14 × 4.2² × 4.9 = 90.5 cm³ to the nearest tenth of a cubic centimeter.
