Question

Find the volume of the sphere. Round your answer to the nearest tenth. A sphere is shown with a diameter of 12 yards. The volume is about cubic yards.

Answer 1

We know:

`{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ (4)/(3) \pi {r}^(3) }}}}}}} \quad \diamond \diamond}`

where,

• Radius (r) = Diameter/2 = 12/2 = 6 yards.
• Pi (π) = 22/7

`\:`

`{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {(4)/(3) * (22)/(7) * {6}^(3) }}}}}`

`{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ (88)/(21) * 6 * 6 * 6 }}}}}`

`{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ (88)/(21) * 216 }}}}}`

`{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ (19008)/(21) }}}}}`

`{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^(3) }}}}}}}}}`

Thus, The volume of Sphere is 905.14yards³. (Approx.)