I have made a closed right circular cone whose length of the base radius is 15cm and slant height is 24cm. Let us calculate the curved surface area and total surface area of that cone.
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Answer:
Given :-
- A closed right circular cone whose length of the base radius is 15 cm and slant height is 24 cm.
To Find :-
- What is the curved surface area and total surface area of the cone.
Formula Used :-
➲ Curved Surface Area = πrl
➲ Total Surface Area = πr(l + r)
where,
- r = Radius
- l = Slant height
Solution :-
First, we have to find the curved surface area of a cone,
Given :
- Radius = 15 cm
- Slant height = 24 cm
According to the question by using the formula we get,
↦ C.S.A of cone = 22/7 × 15 × 24
↦ C.S.A of cone = 22/7 × 360
➠ C.S.A of cone = 1131.43 sq.cm
∴ The curved surface area of a cone is 1131.43 sq.cm.
Again, we have to find the total surface area of a cone,
Given :
- Radius = 15 cm
- Slant height = 24 cm
According to the question by using the formula we get,
↦ T.S.A of cone = 22/7 × 15(24 + 15)
↦ T.S.A of cone = 22/7 × 15(39)
↦ T.S.A of cone = 22/7 × 15 × 39
↦ T.S.A of cone = 22/7 × 585
➠ T.S.A of cone = 1838.57 sq.cm
∴ The total surface area of a cone is 1838.57 sq.cm.
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