Question

the circumference of the base of a cone is 44cm and its slant height is 25cm. find the volume and the curved surface area of the cone. ​

Answer 1

Answer:

Plz mark BRAINLIEST ✌

Step-by-step explanation:

Answer 2

Answer:

Circumference of the base = 2πr = 44 cm²

Slant Height ( l ) = 25 cm

We know that,

Slant Height = √ ( r² + h² )

Using the given information we can find out the radius of the cone.

⇒ 2πr = 44

⇒ r = 44 / 2π

⇒ r = 44 × 7/44

⇒ r = 7

Substituting in the Slant Height formula we get,

⇒ 25 = √ ( 7 )² + h²

Squaring on both sides we get,

⇒ 25² = 7²  + h²

⇒ 625 = 49 + h²

⇒ 625 - 49 = h²

⇒ 576 = h²

⇒ h = √576 = 24

Curved Surface Area of Cone = πrl

⇒ CSA of Cone = 22/7 × 7 × 25

⇒ CSA of Cone = 550 cm²

Volume of cone = 1/3 πr²h

⇒ Volume of Cone = 1/3 × 22/7 × 49 × 24

⇒ Volume of Cone = 154/3 × 24

⇒ Volume of Cone = 154 × 8

⇒ Volume of Cone = 1232 cm³