Answer
Verified
479.7k+ views
Hint: The capacity of the conical pit is equal to the volume of the conical pit. By using the conversion \[1{m^3} = 1{\text{ kilolitre}}\], we can find the capacity of the conical pit. So, use this concept to reach the solution of this problem.
Complete step-by-step answer:
Given,
Height of the conical pit \[h = 12m\]
Diameter of the conical pit \[d = 3.5m\]
So, radius of the conical pit \[r = \dfrac{d}{2} = \dfrac{{3.5}}{2} = 1.75m\]
We know that volume of the conical pit \[V = \dfrac{1}{3}\pi {r^2}h\]
\[
V = \dfrac{1}{3}\pi {\left( {1.75} \right)^2}12 \\
V = \dfrac{1}{3}\pi \left( {3.0625} \right)12 \\
V = \dfrac{1}{3} \times \dfrac{{22}}{7} \times 36.75 \\
V = \dfrac{{22}}{{21}} \times 36.75 \\
V = \dfrac{{808.5}}{{21}} \\
\therefore V = 38.5{\text{ }}{{\text{m}}^3} \\
\]
By using the conversion \[1{m^3} = 1{\text{ kilolitre}}\]
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.
Note: In the problem we have given the diameter of the conical pit, we have converted it into radius to find the volume of that conical pit. In the solution the value of \[\pi \]is taken as \[\dfrac{{22}}{7}\]. We can also take 3.14 as the value of \[\pi \].
Complete step-by-step answer:
Given,
Height of the conical pit \[h = 12m\]
Diameter of the conical pit \[d = 3.5m\]
So, radius of the conical pit \[r = \dfrac{d}{2} = \dfrac{{3.5}}{2} = 1.75m\]
We know that volume of the conical pit \[V = \dfrac{1}{3}\pi {r^2}h\]
\[
V = \dfrac{1}{3}\pi {\left( {1.75} \right)^2}12 \\
V = \dfrac{1}{3}\pi \left( {3.0625} \right)12 \\
V = \dfrac{1}{3} \times \dfrac{{22}}{7} \times 36.75 \\
V = \dfrac{{22}}{{21}} \times 36.75 \\
V = \dfrac{{808.5}}{{21}} \\
\therefore V = 38.5{\text{ }}{{\text{m}}^3} \\
\]
By using the conversion \[1{m^3} = 1{\text{ kilolitre}}\]
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.
Note: In the problem we have given the diameter of the conical pit, we have converted it into radius to find the volume of that conical pit. In the solution the value of \[\pi \]is taken as \[\dfrac{{22}}{7}\]. We can also take 3.14 as the value of \[\pi \].
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE