Question

A metal paperweight is in the shape of a cylinder. The paperweight has the height of 1.5 inches and a diameter of 2 inches. How much does the paperweight weigh if 1 cubic inch weighs 1.8 ounces? Round to the nearest tenth!

Answer 1

Answer:

8.5 ounces

Step-by-step explanation:

area of circle = pi*r^2

pi*1^2 = pi

pi*1.5 = 8.48 = 8.5

Answer 2

The weight of the paperweight is 8.5 ounces.

Concept:

• Firstly, we will calculate the volume of the cylinder by using the formula,
  $V = \pi r^2h$
• Then, we will find the weight by multiplying volume with a specific weight.

How to solve the given question?

• For the given paperweight,
  Diameter = 2 inches ⇒ Radius = 1 inch
• Volume of Cylinder, $V = \pi r^2h$
  ∴ $V = \pi (1)^2 (1.5) = 4.72 \ inch^3$
• As the weight of 1 cubic inch = 1.8 ounces
  ∴ Weight, W = 4.72 × 1.8 =  8.5 ounces

The weight of the paperweight is 8.5 ounces.

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