Question

diameter of the base of a cone is 10.5 cm and its slant height is 10cm. find its curved
surface area.

Answer 1

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Given:

The diameter of base of a cone is 10.5cm and it's slant height is 10cm.

To find:

The curved surface area of the cone.

Explanation:

We have,

• Diameter of the base of cone= 10.5cm
• Slant Height of the cone= 10cm

→ Radius of the base of cone= $\cancel{\frac{10.5}{2} }$

→ Radius of the base of cone= 5.25cm

We know that formula of the curved surface area of cone: πrl

⇒ $(\frac{22}{7} *5.25*10)cm^{2}$

⇒ $(\frac{22*52.5}{7} )cm^{2}$

⇒ $\cancel{\frac{1155}{7}} cm^{2}$

⇒ 165cm².

Thus,

The curved surface area of cone is 165cm².

Answer 2

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${\huge{\red{\underline{\overline{\mathit{\red{ANSWER↓}}}}}}}$

$\therefore$ Diameter of the base = 10.5cm

$\therefore$ Radius of the base(r) = $\large\dfrac{10.5}{2}$ cm

= 5.25cm

Slant height (l)=10cm

$\therefore$ Curved surface area of the cone = πrl

= $\large\dfrac{22}{7}$ × 5.25×10

= ${\large{\boxed{\sf{165cm²}}}}$

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