Question

If the circumference of the base of a cone is 48 cm and slant height is 20 cm, then later
surface area is
a) 480 cm
(b) 240 cm (c) 840 cm (d) 960 cm​

Answer 1

Answer:

A)480cm.

Step-by-step explanation:

Base of the cone is circle.

Circumference of circle =48cm.

2πr=48

r=7.63cm.

Lateral surface area of cone =πrl

=22/7*7.63*20

=480cm^2

Answer 2

Lateral surface area of cone is 480 cm².

Option (a) is correct.

Given:

• If the circumference of the base of a cone is 48 cm and,
• Slant height is 20 cm.

To find:

• Then lateral surface area is
• (a) 480 cm²
• (b) 240 cm²
• (c) 840 cm²
• (d) 960 cm²

Solution:

Formula to be used:

1. Circumference of circle;$\bf C = 2\pi \: r$
2. Curved surface area /Lateral surface area of cone $\bf CSA_{cone} = \pi \: rl$ here, l: slant height and r: radius

Step 1:

Find radius of cone.

$2\pi \: r = 48$

or

$r = \frac{48}{2\pi}$

or

$\bf r = \frac{24}{\pi} \: cm$

Step 2:

Find the curve surface area.

$CSA = \pi \times \frac{24}{\pi} \times 20$

or

$CSA = 24 \times 20$

or

$\bf CSA = 480 \: {cm}^{2}$

Thus,

Lateral\curved surface area of cone is 480 cm².

Option (a) is correct.

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