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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.

  • A 10 in
  • B 37 in
  • C 8 in
  • D 9 in
  • E 38 in

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 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 .

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 volume .