Question

The circumference of the base of a 10 metre height conical tent is 44 meters. Its CSA is _________ *

Answer 1

Answer:

219.67 cm²

Step-by-step explanation:

Circumference of base of conical tent = 10metre

Therefore ,

$2\pi \: r \: = 10 \: metre$

2× 22/7× r = 10

44/7 ×r = 10

r = 10 ×7 /44

r = 70/44

r = 1.59 m

Therefore, radius = 1.59m

Height = 44 m

Slant height (l) =

$\sqrt{}r {}^{2} + h {}^{2}$

$\sqrt{1.59 { }^{2} } + 44 {}^{2}$

$\sqrt{2.52 + 1936}$

$\sqrt{1938.52}$

$44.02cm$

Curved surface area =

$\pi \: r \: l$

$22 \div 7 \times 1.59 \times 44.02 \: cm {}^{2}$

$34.98 \times 44.02 \div 7$

$34.98 \times 6.28$

$219.67cm {}^{2}$