60 gram of gold, need to make 12 cones with a radius of 0.5 centimeters and height of 1 cm with gold. Gold weighs 19.32 grams pcc does she have enough gold?

Question

We didnt learn about weight. How to do this?

Answer 1

How much gold does she need?

The volume of a cone is V = (1/3)Bh

where h is the height (1 cm) and B is the area of the base.  It's a circle

A = πr²

Where r is the radius (0.5 cm), and π is pi (3.14)

 

A = (3.14)(0.5²) = (3.14)(0.25) = 0.785 cc  (cubic centimeters)

V = (1/3)(0.785)(1) = 0.262 cc

 

She needs to make 12 cones, so the total volume needed is:

V = (12)(0.262) = 3.14 cc

 

The total weight of gold needed is V times 19.32 g per cc

W = (3.14)(19.32) = 60.66 grams

 

She doesn't have enough gold.