Answer

Verified

338.1k+ views

**Hint:**The key for solving this problem easily is to isolate \[{r^2}\]. The elimination method can be used for solving systems of linear equations and to solve the value for P. Here we can add the same value to each side of the equation while keeping the equation balanced.

**Complete step by step solution:**

Here while keeping the equation balanced we need to divide each side of the equation by \[4\pi h\] to solve for \[{r^2}\]

\[\dfrac{S}{{4\pi h}} = \dfrac{{4\pi {r^2}h}}{{4\pi h}}\]

While further simplifying the equation by cancelling the terms value of \[{r^2}\] is

\[\dfrac{S}{{4\pi h}} = {r^2}\]

**So the value for \[{r^2}\] comes out to be \[\dfrac{S}{{4\pi h}}\] which means that the correct answer is option B.**

**Additional information:**To solve this problem in a better way it is important to simplify each side of the equation by removing parentheses and combining like terms. Addition or subtraction is used to isolate variable terms on one side of the equation while to solve the variable multiplication or subtraction is used.

**Notes:**Remember the complete solution is the result of both the positive and negative portions of the solution. We can also further simplify the equation to solve for \[r\] by taking the square root of both sides of the equation for eliminating the exponent on the left side\[r = \sqrt {\dfrac{S}{{4\pi h}}} \]

Remember that the solution of the linear equation is not affected if the same number is added or subtracted from both sides of the equation and if both the sides of the equation are multiplied or divided by the same non-zero number.

Recently Updated Pages

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Describe the poetic devices used in the poem Aunt Jennifers class 12 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

And such too is the grandeur of the dooms We have imagined class 12 english CBSE

Where is the endless fountain of immortal drink pouring class 10 english CBSE

What I want should not be confused with total inactivity class 12 english CBSE

Why was the Moral Rearmament Army welcomed at the class 12 english CBSE

Difference Between Plant Cell and Animal Cell