A cone has a diameter of 6 cm and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?

A) 1/3(3.14)(3cm)^2(18cm)
B) 1/3(3.14)(6cm)^2(18cm)
C) 1/3(3.14)(18cm)^2(3cm)
D) 1/3(3.14)(18cm)^2(6cm)

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absor201 absor201 · Answer 1 · 2020-01-12T13:03:49+01:00

Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer

Step-by-step explanation:

Given

Diameter of Cone = d = 6 cm

Radius will be:

r = d/2 = 6/2 = 3 cm

Height of cone = h = 3d = 18 cm

The volume of cone is given by:

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

Putting the values

[tex]V = \frac{1}{3} (3.14)(3)^2(18)[/tex]

Hence,

Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer

Keywords: Volume, cone

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