Question

How much grain can this container hold? Use 3.14 to approximate .round your answer to the nearest hundredth

Answer 1

Explanation:

The figure for the container is shown below. Remember that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ r:Radius \\ \\ height$

From the figure:

$Diameter=3in \\ \\ \\ So: \\ \\ r=3/2=1.5in \\ \\ \\ And: \\ \\ h=7in$

Therefore:

$V=\frac{1}{3}\pi r^2 h \\ \\ \ V=\frac{1}{3}\pi (1.5)^2 (7) \\ \\ V=\frac{21}{4}\pi \\ \\ \boxed{V\approx 16.49 \ in^3}$

Answer 2

The volume of the cone to the nearest hundredth is approximately 16.5in³.

Hence, the container can hold 16.5in³ of grains.

What is a cone?

A cone is simply a 3-dimensional geometric shape with a circular base and a curved surface pointed to the top.

The volume of a cone is expressed as;

V = (1/3) × π × r² × h

Where r is the radius of the base, h is the height of the cone and π is the constant pi ( π = 3.14 ).

Given the data in the image;

• Diameter d = 3in

• Radius r = d/2 = 3in/2 = 1.5in

• Height h = 7in

• Volume V = ?

We substitute our values into the expression above.

V = (1/3) × π × r² × h

V = (1/3) × 3.14 × (1.5in)² × 7in

V = (1/3) × 3.14 × 2.25in² × 7in

V = 16.5in³

The volume of the cone to the nearest hundredth is approximately 16.5in³.

Hence, the container can hold 16.5in³ of grains.

Learn more about volume of cone here: https://brainly.com/question/1984638

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