Question

can you guys explain how to do this?

Answer 1

Given :

• Slant height of conical patio umbrella = 1.5 m
• Rasis of conical patio umbrella = 2.1 m

To find :

Quantity of Fabric used

Formula used :

Curved surface area of cone = πrl

Here

• r = radius of base of cone
• l = slant height of cone

Solution :

Here , amount of fabric used will be equal to curved surface area of conical patio umbrella.

CSA of conical patio umbrella = π ×(2.1m) ×1.5m

CSA of conical patio umbrella = (22/7) × 2.1 × 1.5m²

CSA of conical patio umbrella = 22×1.5 × (2.1/7) m²

CSA of conical patio umbrella = 33 × 0.3 m²

CSA of conical patio umbrella = 9.9 m²

Therefore amount of fabric used = 9.9 m²

ANSWER : 9.9 m²

Answer 2

Given :-

• Slant height of colonial patio umbrella = 1.5 m
• Rasis of colonial patio umbrella = 2.1 m

To find :-

★ $\large\underline{\frak{As \: we \: know \: that,}}$

• Find the quantity of the fabric used

$\large\dag$ Formula Used :

• $\boxed{\bf{Curved~surface~area~of~cone~=~πrl}}$

❍ r = radius of the base of the cone

❍ l = Slant height of the cone

Solution :-

• Amount of fabric used will be equal to curved surface area of colonial patio umbrella.

$\boxed{\bf{\mid{\overline{\underline{\green{\star\: CSA ~of ~colonial~ patio ~umbrella \: }}}}}\mid}$

:$\implies$${\sf{π~×~(2.1m)~×~1.5m}}$

$~~~~~$:$\implies$= $\large{\sf{ \frac{(22)}{7} \times 2.1 \times 1.5m²}}$

$~~~~~~~~~~$:$\implies$${\sf{22 \times 1.5 \times \frac{22}{7} {m}^{2}}}$

$~~~~~~~~~~~~~~~$:$\implies$33 × 0.3m²

$~~~~~~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\pink{\frak{9.9~m²}}}}}$★

$\large\dag$ Hence ,

• The amount of the fabric used is = $\large\underline{\rm{9.9~m²}}$