**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 cm^{3}. (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.