Question

a well of diameter 8cm is dug out to the depth of 2cm . find the volume of earth dug​

Answer 1

$\large\underline\blue{\bold{Given \:  Question :-  }}$

A well of diameter 8cm is dug out to the depth of 2cm. Find the volume of earth dug.

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$\huge{AηsωeR} ✍$

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${ \boxed {\bf{Given : - }}}$

$\begin{gathered}\begin{gathered}\bf given = \begin{cases} &\sf{diameter \: of \: well \: = 8 \: cm} \\ &\sf{height \: of \: the \: well \: = 2 \: cm} \end{cases}\end{gathered}\end{gathered}$

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${ \boxed {\bf{To Find : - }}}$

$\begin{gathered}\begin{gathered}\bf To Find = \begin{cases} &\sf{Volume \: of earth \: dug} \end{cases}\end{gathered}\end{gathered}$

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$\large\underline\blue{\bold{Formula \: used:- }}$

${{ \boxed{\large{\bold\green{Volume_{(cylinder)}\: = \:\pi r^2h}}}}}$

where,

• r = radius of cylinder
• h = height of cylinder

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$\large\underline\purple{\bold{Solution :- }}$

Height of the well, h = 2 cm

Diameter of the well = 8 cm

⟹ Radius of well, r = 4 cm

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☆ So, Volume of earth dug = Volume of cylinder of radius 4 cm and height 2 cm.

$\bf \::⟹ ★</p><p>{{ \boxed{\large{\bold\green{Volume_{(earth \: dug)}\: = \:\pi r^2h}}}}}$

$\sf \:  Volume_{(earth \: dug)} = \dfrac{22}{7} \times 4 \times 4 \times 2$

$\sf \:  Volume_{(earth \: dug)} = \dfrac{704}{7} = 100.57 \: {cm}^{3} (approx.)$

Answer 2

Answer:

100.57cu.cm

Step-by-step explanation:

Diameter=8cm

radius= half of diameter

=1/2×8

= 4cm

Volume= πr®h

= 22/7×4×4 ×2

=22/7×16×2

=22/7×32

=22×4.57

=100.57