Solution 1 :-Information provided with us :- Base radius is 14 cm of a cone
- Height is 0.48 m of that cone
What we have to calculate :- Slant height (l) of the cone ?
Performing Calculations :Using formula of calculating the slant height of cone (l),
Here,
- l is slant height
- h is height
- r is radius
But before putting the values in it we would be changing the unit of height (h) which is in metres into centimetres.
➺ h = 0.48 × 100
➺ h = (48/100) × 100
➺ h = 48 cm
Therefore, height of cone in centimetres is 48cm.
Putting all the required values,
➺ l² = (48)² + (14)²
➺ l² = (48 × 48) + (14 × 14)
➺ l² = (2304) + (196)
➺ l² = 2304 + 196
➺ l² = 2500
➺ l = √2500
➺ l = 50
Therefore, slant height (l) of the cone is 50 cm.
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Solution 2 :-Information provided with us :- Curved surface area (C.S.A) of the cone is 4070 cm.
- Diameter is of 70 cm.
What we have to calculate :- Slant height (l) of the cone.
Using Formula :★ Curved surface area of cone :-
Here,
- Value of π is 22/7
- r is radius
- l is slant height
Performing Calculations :First of all we would be finding out the radius of the cone as we have been provided with its diameter.
As we know that,
➺ r = d / 2
By using it we gets,
➺ r = 70 / 2
➺ r = 35
Therefore, radius of the cone is of 35 cm.
Putting all the values in the formula,
➺ 4070 = (22/7) (35) (l)
➺ 4070 = 22/7 × 35 × l
➺ 4070 = 22 × 35 × l / 7
➺ 4070 = 22 × 5 × l
➺ l = 4070 / 22 × 5
➺ l = 814 / 22
➺ l = 407 / 11
➺ l = 37
Therefore, slant height (l) of the cone is of 37cm.
Additional Information :★ Volume of cone:-
★ Total Surface Area of cone:-
Some more formulas related to concept surface area and volume :
★ Curved surface area of cylinder:-
★ Total surface area of cylinder:-
★ Volume of cylinder:-
★ Area of cross-section:-
- Area of cross-section = πr²
★ Volume of sphere:-
★ Volume of cube:-
In these formulas,
- r is radius
- h is height
- a is side of cube