The area of the base of a conical solid is 2464 cm2
and its volume is 17248 cm3
. Find the
curved surface area of the solid.
Answers
Answered by
144
Appropriate Question :-
- The area of the base of a conical solid is 2464 cm² and its volume is 17248 cm³. Find the curved surface area of the solid.
Given :-
- The area of the base of a conical solid is 2464 cm² and its volume is 17248 cm³.
To Find :-
- What is the curved surface area of the solid.
Formula Used :-
Volume Of Cone Formula :
Area of Circle Formula :
Curved Surface Area Of Cone Formula :
where,
- π = pie or 22/7
- r = Radius
- h = Height
- l = Slant Height
Solution :-
First, we have to find the radius :
Given :
- Area = 2464 cm²
According to the question by using the formula we get,
Now, we have to find the height :
Given :
- Volume = 17248 cm³
- Radius = 28 cm
According to the question by using the formula we get,
Now, we have to find the value of slant height :
As we know that,
Pythagoras Theorem Formula :
where,
- l = Slant Height
- r = Radius
- h = Height
Given :
- Radius = 28 cm
- Height = 21 cm
According to the question by using the formula we get,
Now, we have to find the curved surface area of the cone :
Given :
- Radius = 28 cm
- Slant height = 35 cm
According to the question by using the formula we get,
The curved surface area or CSA of cone is 3080 cm².
Answered by
122
Now,
Let Slant height = l
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