Math, asked by khansadikkhan1997, 10 months ago

a hemispherical bowl has inner diameter 11.2 cm find the volume of milk it can hold​

Answers

Answered by Anonymous
24

Answer:

  • Volume of cone = 367.95 cm³

Step-by-step explanation:

Refers to the attachment!!!

Attachments:
Answered by Anonymous
14

\bf{\Huge{\boxed{\tt{\purple{ANSWER\::}}}}}

\bf{\Large{\underline{\bf{[Given\::]}}}}}

A hemispherical bowl has inner diameter 11.2cm.

\bf{\Large{\underline{\bf{[To\:find\::]}}}}

The volume of milk it can hold.

\bf{\Large{\underline{\tt{\green{Explanation\::}}}}}

We know that volume of hemisphere:

\bf{\Large{\boxed{\tt{Volume\:=\:\frac{2}{3} \pi r^{3} }}}}

\bf{We\:have}\begin{cases}\sf{Inner\:diameter\:(d)=\:11.2cm}\\ \\\sf{Radius\:(r)\:=\frac{11.2}{2} cm}\end{cases}}

Therefore,

\longmapsto\sf{Volume\:=\:\frac{2}{3} *\frac{22}{7} *(\frac{11.2}{2})^{3} }

\longmapsto\sf{Volume\:=\:\frac{2}{3} *\frac{22}{7} *\frac{11.2}{2}*\frac{11.2}{2}*\frac{11.2}{2}}

\longmapsto\sf{Volume\:=\:\frac{\cancel{2}}{3} *\frac{\cancel{22}}{\cancel{7}} *\frac{\cancel{11.2}}{\cancel{2}}*\frac{11.2}{\cancel{2}}*\frac{11.2}{2}}

\longmapsto\sf{Volume\:=\:\frac{11*1.6*11.2*11.2}{6}\:cm^{3}  }

\longmapsto\sf{Volume\:=\:\frac{11*16*112*112}{6*1000} \:cm^{3} }

\longmapsto\sf{Volume\:=\:\cancel{\frac{2207744}{6000}} \:cm^{3} }

\longmapsto\sf{\red{Volume\:=\:367.95\:cm^{3} }}

Thus,

\bf{\Large{\boxed{\rm{The\:volume\:of\:milk\:it\:can\:hold\:\:\implies367.95cm^{3} }}}}}

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