a cop is in the form of a right circle cone of base diameter 14cm.and hight 24cm. find the area of sheet required for 15cop.?
Answers
Correct Question:
- A cap is in the form of a right circle cone of base diameter 14cm and height 24cm. find the area of sheet required for 15 caps ?
Answer :
- Area of sheet required is 8250 cm²
Given :
- Diameter of cone = 14cm
- Height of the cone = 24cm
To find :
- The area of sheet required to makes 15 cap
Solution:
Given that ,
- Diameter of cone is 14cm
- Radius = 14/2 = 7cm
- Height of the cone is 24cm
As we know that slant height :
➵ l = √r² + h²
- where , l is length , r is radius (7cm) , h is height(24cm)
➵ l = √r² + h²
➵ l = √7² + 24²
➵ l = √49 + 576
➵ l = √625
➵ l = √25cm
Now we have to find the curved surface area of cone
As we know that :
- CSA of cone = πrl
where r is 7cm , length is 25 cm
➵ CSA of cone = πrl
➵ CSA of cone = 22/7 × 7 × 25
➵ CSA of cone = 22 x 25
➵ CSA of cone = 550 cm²
Curved surface area of cone is 550cm²
Now we have to find the area of sheet required for 15 caps:
➵ 550 × 15
➵ 8250 cm²
Hence area of sheet required is 8250 cm²
More Explanation:
- volume of cone = πr²h/3
- surface area of cone =πr(r + √h² + r²)
- Lateral surface area of cone =πr(√h² + r²)
- base area of cone = Ab = πr²
- Height of cone = 3 v/πr²
- Radius of cone = √3 v/πh
- Slant height of cone = l = √r² + h²
- where , r is radius , v is volume , h is height
Answer:
Correct Question:
A cap is in the form of a right circle cone of base diameter 14cm and height 24cm. find the area of sheet required for 15 caps ?
Answer :
Area of sheet required is 8250 cm²
Given :
Diameter of cone = 14cm
Height of the cone = 24cm
To find :
The area of sheet required to makes 15 cap
Solution:
Given that ,
Diameter of cone is 14cm
Radius = 14/2 = 7cm
Height of the cone is 24cm
As we know that slant height :
➵ l = √r² + h²
where , l is length , r is radius (7cm) , h is height(24cm)
➵ l = √r² + h²
➵ l = √7² + 24²
➵ l = √49 + 576
➵ l = √625
➵ l = √25cm
Now we have to find the curved surface area of cone
As we know that :
CSA of cone = πrl
where r is 7cm , length is 25 cm
➵ CSA of cone = πrl
➵ CSA of cone = 22/7 × 7 × 25
➵ CSA of cone = 22 x 25
➵ CSA of cone = 550 cm²
Curved surface area of cone is 550cm²
Now we have to find the area of sheet required for 15 caps:
➵ 550 × 15
➵ 8250 cm²
Hence area of sheet required is 8250 cm²
More Explanation:
volume of cone = πr²h/3
surface area of cone =πr(r + √h² + r²)
Lateral surface area of cone =πr(√h² + r²)
base area of cone = Ab = πr²
Height of cone = 3 v/πr²
Radius of cone = √3 v/πh
Slant height of cone = l = √r² + h²
where , r is radius , v is volume , h is height
Step-by-step explanation:
Hope this answer will help you✌