Question

The radius and slant height of a cone are in the ratio of 7:25 .If it's curve surface area is 2200 cm.find the radius.

Answer 1

HEY MATE
HERE IS YOUR ANSWER

Given- radius : slant height = 7:25
curved surface area = 2200 cm Sq
to find - radius

Solution - Let the come multiple be x
radius = 7x and slant height = 25x

curved surface area of a cone=22/7 × 7x × 25x
2200 =22/7 × 7x ×25x
2200× 7 = 7x × 25x
-----------------
22
100 × 7 = 175x sq
700 = 175x sq
700÷ 175 = x sq

$\: \: \: \: \: \: \: \: \: \: \sqrt{4 = x}$
therefore , x = 2

hence radius = 7× 2 = 14 cm

HOPE IT HELPS