Chapter ISG, Problem 8.3STP

To determine

To find surface area of sphere

Answer to Problem 8.3STP

Explanation of Solution

Given information:

Radius of sphere= $5x+3$

Formula used:

Surface area of sphere= $4\pi r^2$

Calculation:

Substituting value of radius,

Surface area= $4\pi {(5x+3)}^2$

Solving,

Surface area= $4\pi \{{(5x)}^2+3^2+2(5x)(3))\}$

Now,

Surface area= $4\pi \{25x^2+9+30x\}$

So,

Surface area= $100\pi x^2+30\pi x+36\pi$

Hence, the surface area is $100\pi x^2+30\pi x+36\pi$ .