Question

the volume of a cone is 1680πsq.cm.If height is 35cm, find the slant height. ​

Answer 1

Answer:

slant height = 37 cm

Step-by-step explanation:

Given : volume of cone is 1680π sq. cm

and height is 35 cm

to find : slant height

volume = 1/3 πr^2h

=} 1680π =. 1/3 π r^2 (35)

=} 1680 × 3 =. r^2(35)

=} 5040 = r^2(35)

=} r^2 = 144

then,

r = ✓144

r = 12

.slant height = ✓[( height )^2 + ( radius)^2]

=} ✓[(35)^2 + (12)^2]

=} ✓[1225 + 144]

=} ✓[1369]

then slant height is equal to 37cm