Question

If the radius of a solid sphere is 35 cm calculate the radius of a variation when the axis along the tangent

A. 5√35
B. 10√35
C. 8√35
D. 4√35

Answer 1

To calculate the radius of the variation when the axis is along the tangent, we can use the Pythagorean theorem and solve a quadratic equation. We get C. 8√35..

Step-by-step explanation:

To calculate the radius of the variation when the axis is along the tangent, we can use the Pythagorean theorem. The radius of the original solid sphere is 35 cm, and let's denote the radius of the variation as r. We can form a right triangle with the original radius as the hypotenuse and r as one of the legs. The other leg will be the difference between the original radius and r. Using the Pythagorean theorem, we have:

r² + (35 - r)² = 35²

Simplifying this equation, we get:

2r² - 70r + 1225 = 0

By solving this quadratic equation, we find two possible values for r. The correct answer is the smaller positive value, which is approximately 8√35 cm. Therefore, the answer is C. 8√35.