Question

the curved surface area of a right circular cone of radius 6 cm is 188.4 CM square find its height

Answer 1

ⓗⓔⓨ ⓕⓡⓘⓔⓝⓓ

ⓗⓔⓡⓔ ⓘⓢ ⓨⓞⓤⓡ

ⓐⓝⓢⓦⓔⓡ

⊙ Radius = 6 cm

⊙ Area = 188.4 cm^2

$\pi \: r \sqrt{h {}^{2} + r {}^{2} } = area$

$\frac{22}{7} \times 6 \sqrt{h {}^{2} + 36 }$

$18.85 \sqrt{h {}^{2} +36 } = 188.4$

$\sqrt{h {}^{2} + 36 } = 9.99$

$h {}^{2} + 36 = 99.8$

squaring both the sides .......

$h {}^{2} = 63.8$

$h = \sqrt{63.8} = 7.98cm= 8 cm ( Approx )$

hope it helps

Answer 2

$<marquee direction="left">Heya mate, Here is ur answer</marquee>$

$\huge\bold{\red{\boxed{\mathfrak{Answer}}}}$


CSA of cone =πrl

Given :

CSA of cone =188.4 cm^2

Radius=6cm

CSA=πrl

$188.4 = \frac{22}{7} \times 6 \times l$

$\frac{188.4 \times 7}{22 \times 6} = l$

$\frac{1318.8}{132} = l$


9.99 (approx)= l

In a right circular cone,

$h = \sqrt{ {l}^{2} - {r}^{2} }$


$h = \sqrt{ {9.99}^{2} - 6 {}^{2} }$


$h = \sqrt{99.80 - 36}$


$h = \sqrt{63.8}$


$h = \sqrt{64} (approx)$

$h = 8$

So,height=8 cm

=======================

Warm regards

@Laughterqueen

Be Brainly ✌✌✌