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GEOMETRY. PLEASE, I NEED HELP NOW! The lateral area of a cone is 736 pi cm^2 . The radius is 46 cm. Find the slant height to the nearest tenth. A. 16 cm B. 21.1 cm C. 13.4 cm D.…

GEOMETRY. PLEASE, I NEED HELP NOW! The lateral area of a cone is 736 pi cm^2 . The radius is 46 cm. Find the slant height to the nearest tenth. A. 16 cm B. 21.1 cm C. 13.4 cm D.…
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GEOMETRY. PLEASE, I NEED HELP NOW!

The lateral area of a cone is 736 pi cm^2 . The radius is 46 cm. Find the slant height to the nearest tenth.
A. 16 cm
B. 21.1 cm
C. 13.4 cm
D. 21.6 cm

asked
User Codium
by
8.3k points

1 Answer

6 votes
(1/2)pidh=lateral area
h=slant height
so
736pi=1/2pidh
divid eobth sides by pi
736=1/2dh
multiply both sides by 2
1472=dh

2r=d
2(46)=d=92

1472=92h
divide both sides by 92
16 exatly

slant height=16cm

answer is A



answered
User DrowsyTicker
by
8.2k points
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