Question

a conical pit of diameter 3.5 cm is 12 m deep. what is its capacity​

Answer 1

Answer:

The capacity of the conical pit is 38.5 kilolitres. Thus, the capacity of conical pit of top diameter of 3.5 m and 12m deep is 38.5 kilolitres.

Answer 2

Question:-

• A conical pit of diameter 3.5 cm is 12 m deep. what is its capacity.

Hint:-

• . By using the conversion 1 m³ = kilolitre, we can find the capacity of the conical pit. So, use this concept to reach the solutionof this problem.

Given:-

• Height of the conical pit h = 12m
• Diameter of the conical pit d= 3.5 m
• radius of the conical pit =
• $r = \frac{d}{2} = \frac{3.5}{2} = 1.75m$

We know that the ,

$\boxed{ \underline{ \pink{ \mathfrak{volume \: of \: the \: conical \: pit = \frac{1}{3} \pi {r}^{2}h }}}}$

$\bf \longrightarrow \frac{1}{3} \pi(1.75) ^{2}12$

$\bf \longrightarrow \: \frac{1}{3} \pi(3.0625)12$

$\bf \longrightarrow \frac{1}{3} \times \frac{22}{7} \times 36.75$

$\bf \longrightarrow \: \frac{22}{21} \times 36.75 = \frac{808.5}{21}$

$\bf \longrightarrow \: 38.5 {m}^{3}$

Therefore the volume of conical pit is 38.5 m³ .

Step-by-step explanation:

$\boxed{ \underline{ \mathfrak{ \blue{Learn \: More \: Volume \: Related \: Formulas : - }}}}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf \: volume \: formula \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c} \bf \: shapes & \bf \: volume \: formula & \\ \\ \rm cuboid & l \times w \times h& \\ \\ \rm cube & v = {a}^{3} &\\ \\ \rm cylinder & v = \pi {r}^{2}h & & \rm \\ \\ \rm prism & \rm v = b \times h & & \\ \\ \rm sphere & v = (\frac{4}{3})\pi {r}^{3} \\ \\ \rm pyramid & \rm v =( \frac{1}{3} ) \times h \times b & & \\ \\ \rm \: right \: circular \: cone & \rm \: v = (\frac{1}{3} )\pi {r}^{2}h \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}$