circumference of the base of the cone is 44cm and its slant height is 25cm find the volume and curvedbsurface area of cone
Answers
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
Step-by-step explanation:
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Answer:
HELLO
Circumference =44 cm
2pi. r = 44 cm
2 x 22/7 x r = 44 cm
r =7 cm
surface area of cone =pi.r .l
where l is slant height
now,
surface area of cone =22/7 x 7 x 25
= 22 x 25
=550 cm^2
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