If the height and slant height of a cone are 6cm and 10cm respectively, let us determine total surface area and volume of the cone.
Answers
Answer:
100 point ka question de phle
Answer:
1) Total surface area of cone = 452.16cm²
2) Volume of cone = 401.92cm³
Step-by-step Explanations :
Given : Height of cone = 6cm
Slant height of cone = 10cm
To find : Total surface area of Cone = ?
Volume of the Cone = ?
Height of the cone, h = 6cm. ( Given )
Slant height of the cone, l = 10cm. ( Given )
Therefore,
Radius ( r ) = √ l² - h² = √ 100 - 36 = √ 64 = 8cm
We know that,
Volume of the cone = 1/3 × πr²h
Substituting the value in above formula we get,
Volume of cone = 1/3 × 3.14 x 8² x 6
= 401.92cm³
We know that,
Curved surface area of the cone = πrl
Substituting the value in above formula we get,
Curved surface area of cone = 3.14 x 8 x 10
= 251.2cm²
We know that,
total surface area of cone = πrl + πr²
Substituting the value in above formula we get,
Total surface area = 251.2 + 3.14 x 8²
= 452.16cm²