How many cubic metres of earth must be dug out to create a well of 12 m deep and of diameter 7m? A) 268 m^3 B) 324 m^3 C) 376 m^3 D) 462 m^3
Answers
Answer:
(D) 462 m^2
Step-by-step explanation:
Step 1:
Given Data.
Sink a well = 16 m depth.
Diameter = 7 m
Step 2:
So we come to know
Radius = Diameter / 2= 7 / 2 m
Height= 16m
Step 3:
Using the Formula
Volume of cylinder = 22 / 7 x 7 / 2 x 7 / 2 x 12
Volume of cylinder = 22 / 7 x 49 / 4 x 12
Volume of cylinder = 462m^2
Given : a well of 12 m deep and of diameter 7m to be created
To Find : How many cubic meters of earth must be dug out to create
A) 268 m³ B) 324 m³ C) 376 m³ D) 462 m³
Solution:
Well is in the shape of cylinder
To find earth must be dug , need to find volume of earth must be dug
Volume of cylinder = πr²h
π = 22/7
r = Radius = (diameter /2) = 7/2 m
h = depth =12 m
Volume of Earth = (22/7) (7/2)² *12
= 22 * 7 * 3
= 22 * 21
= 462 m³
Hence 462 cubic metres of earth must be dug out to create a well of 12 m deep and of diameter 7m
Correct answer is option D) 462 m³
Learn More:
possible value of radius is?
brainly.in/question/23926217
in a solid hemisphere the circumference of circular base
brainly.in/question/23927955