Question

what is the radius and curved surface area of a cone made from a quadrant of a circle of radius 28 cm

Answer 1

(if cone is made from quadrant of circle this mean the radius of quadrant of circle is equal to height of cone.
and it also shows that area of quadrant of circle is equal to csa ( curved surface area of cone) )
i hope this hint will help you to solve the question

Answer 2

Answer:

⛄ ANSWER:-

→Radius of the cone = 7 cm.

→CSA of the cone= 616 cm².

⛄ STEP-BY-STEP EXPLAINATION:-

❄ Given:-

A quadrant of a circle is folded to make a cone. Radius of the circle= 28 cm.

❄ To find:-

Radius and CSA of the new cone.

❄ Solution:-

Let R be the radius of the cone and r be the radius of the circle.

Now,

Since the quadrant of the circle is folded to form a cone, the circumference of the cone would be the area of the arc of the quadrant.

Thus,

2πr of the cone= Area of the arc of the quadrant. [i.e. 1/4 × circumference of the circle]

=> 2πR = 1/4 × 2πr

=> R = r/4

=> R = 28cm/4

☞ R = 28cm/4 = 7 cm.

Now, CSA of the cone = πrl.

=> 22/7 × 7 cm × 28cm

=> 22 × 28cm

☞ 616 cm²

Therefore, the curved surface area of the cone → 616 cm².

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