# Worksheet: Approximating Radicals with a Calculator

Q1:

The formula for the area of a square is , where is the side length. Estimate the side length of a square whose area is 74 square inches.

Q2:

The volume, , of a sphere with radius length is given by . Find the radius length of a sphere with a volume of cm3. (Take .)

Q3:

In a triangle whose base and height are equal, the base length is given by , where is the area of the triangle. Estimate, to the nearest whole number, the base length of this triangle if its area is 17 square meters.

Q4:

The formula can be used to estimate the distance , in miles, you can see from a point feet above the horizon. Using the formula, determine, to the nearest tenth, the height of a foothill with a viewing distance of 19.6 miles.

Q5:

The radius of a sphere is given by the formula , where is the sphere’s volume. Determine the difference in radius between a sphere with volume and a sphere with .

Q6:

The radius of a sphere is given by the formula , where is the sphere’s volume. Determine the difference in radius between a sphere with volume and a sphere with volume .

Q7:

The time in seconds of a dropped object from a height feet until it hits the ground is given by the formula . Find, to the nearest tenth, how long it will take an object dropped from 975 feet to hit the ground.