a cone is made by Rolling a metal sheet in the form of a sector with radius 36 CM are the central angle 150 degree find the curved surface area and the volume of a cone so formed

To find the **curved surface area** and **volume** of the cone formed by rolling a sector of radius 36 cm and central angle 150°, let's break it down step-by-step.

### Step 1: Curved Surface Area of the Cone

The **radius of the sector** represents the **slant height (l)** of the cone, which is given as 36 cm.

The **arc length of the sector** forms the **circumference of the base** of the cone. The formula for the arc length is:
\[
\text{Arc Length} = \frac{\theta}{360^\circ} \times 2 \pi r
\]
Where:
- \(\theta = 150^\circ\) (central angle)
- \(r =

A cone is made by rolling a metal sheet in the form of a sector with radius 36 cm and central angle 150°. Find the curved surface area and the volume of the cone so formed.

Learn how to calculate the curved surface area and volume of a cone formed by rolling a sector of radius 36 cm and central angle 150°. This solution covers key geometric concepts such as arc length, surface area, and volume of a cone. Suitable for students in Grades 9-12.

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