Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# A conical pit of top diameter 3.5 m is 12m deep. What is its capacity in kilolitres?

Last updated date: 13th Jul 2024
Total views: 448.8k
Views today: 13.48k
Verified
448.8k+ 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.

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 $1{m^3} = 1{\text{ kilolitre}}$
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 $\pi$.