Question

If the radius of a sphere is increased from 7cm to 7.02cm.then find the approximate increase in the volume of the sphere

Answer 1

Increase in Volume = 126.76 cm³ (approx)

Step-by-step explanation:

Radius r of sphere = 7 cm

Volume of Sphere = $\frac{4}{3} \pi r^{3}$

  = $\frac{4}{3} *\frac{22}{7} * 7*7*7$

=  $\frac{4312}{3}$  

=  1437.33 cm³

Radius of increased Sphere = 7.2 cm

Volume = $\frac{4}{3} *\frac{22}{7} * 7.2 *7.2 *7.2$

              = 1564.09 cm³

Increased in volume = 1564.09 - 1437.33

  = 126.76 cm³

Answer 2

The approximate increase in the volume of the sphere is 12.35 cm³.

To find : Approximate value of increase in the volume of the sphere.

Given :

Radius of sphere is increased from 7 cm to 7.02 cm.

Formula :

Volume of the sphere = $\frac{4}{3}\pi r^3$

Radius of sphere at 7 cm :

Radius ($r_1$) = 7 cm.

Volume of sphere =  $\frac{4}{3}\pi r^3$

                              = $\frac{4}{3} \times\(3.14\times(7)\times(7)\times(7)$        [ $\pi$ = 3.14 ]

                         $r_1$  = 1436.02

Radius of sphere at 7.02 cm :

Radius ($r_2$) = 7.02 cm

Volume of sphere = $\frac{4}{3}\pi r^3$

                              = $\frac{4}{3} \times\(3.14\times(7.02)\times(7.02)\times(7.02)$     [ $\pi$ = 3.14 ]

                          $r_2$ = 1448.37

Increase in the volume of the sphere = $r_2 - r_1$

                                                              = 1448.37 - 1436.02

                                                              = 12.35 $cm^3$.

Therefore, the approximate volume of the sphere is 12.35 cm³.

To learn more...

1. brainly.in/question/3899750

2. brainly.in/question/1777182