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A sculpture is made of solid nickel in the shape of a cone. The sculpture is 84 inches tall, and its base has a radius of 8 inches. If nickel costs $2.25 per cubic inch, how much did the nickel for the sculpture cost?
Use 3.14 for π, and do not round your answer.


Sagot :

Answer:

Cost = $12660.48

Step-by-step explanation:

Given that,

The height of the cone shape, h = 84 inches

The radius of base, b = 8 inches

The cost per cubic inch is $2.25.

The cost of nickel for the sculpture is given by :

[tex]C = 2.25\times \dfrac{1}{3}\pi r^2 h\\\\=0.75\times 3.14\times 8^2\times 84\\\\C=\$12660.48[/tex]

So, the required cost is equal to $12660.48.