Question

Find the volume and surface area of a metallic sphere having diameter 8.4

Answer 1

Give, diameter =8.4cm

so, radius =4.2cm
volume =4/3*pi*r³
surface area = 4* pi* ?
put in the value of r IN the formula to
get to required volume are 300.46 cm³
and surface area are 221.76cm²

Answer 2

Final answer:

The Volume of the metallic  sphere is 310.464 cm³

The Surface area of the metallic sphere is 221.76 cm²

Given:

The diameter of a metallic sphere is 8.4 cm

To find:

The volume and surface area of a metallic sphere

Formula to be used:

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

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

Solution:

Step 1 of 2:

The diameter of a metallic sphere is 8.4 cm

Radius = $\frac{8.4}{2}$

Radius = 4.2 cm

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

Volume of the sphere =  $\frac{4}{3}$ ×  $\frac{22}{7}$ × $(4.2)^{3}$

Volume of the sphere = 4 × 22 × 4.2 × 1.4 × 0.6

Volume of the sphere = 310.464 cm³

Step 2 of 2:

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

Surface  area of the sphere = 4  ×  $\frac{22}{7}$ × $(4.2)^{2}$

Surface area of the sphere = 4  × 22 × 4.2 × 0.6

Surface area of the sphere = 221.76 cm²