Question

Before 1980, Mount St. Helens was cone-shaped, with a height of about 1.83 miles and a base radius of about 3 miles. In 1980, Mount St. Helens erupted. The tip of the cone was destroyed, reducing the mountain's volume by 0.043 cubic miles. Find the volume of Mount St. Helens after the eruption. Round the answer to the tenths place.

HURRY PLEASE

Answer 1

17.2 cubic miles

Explanation:

You want the volume of Mt. St. Helens after an eruption removed 0.043 cubic miles of volume from its cone shape. Its radius is 3 miles, and its height was about 1.83 miles.

Cone

The formula for the volume of a cone is ...

V = 1/3πr²h

The volume of the tip is removed from that to find the volume after the eruption.

V = 1/3π(3 mi)²(1.83 mi) - 0.043 ≈ 17.2 mi³

After the eruption, the volume of Mount St. Helens is about 17.2 cubic miles.

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Additional comment

The volume rounded to 1 decimal place is unaffected by the amount removed. That amount only changes the volume in the 2nd decimal place.