Question

an ice-cream scoop is in the form of a hemisphere surmounted on a cone of common base of diameter 7cm. If the height of the ice cream along with the cone is 15cm, find the total surface area of it.

Answer 1

236.5 sq. cm

Step-by-step explanation:

cone LSA is Pi ×r ×l

that of hemisphere is 2Pi ×r×r

h of hemisphere is equal to radius thus h is 3.5 and that of cone is 15-3.5 which is 11.5.

Lsa of ice cream is 2×22/7×3.5×3.5 which 77

slant height of cone is

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

which is root of 64 + 132.25 which is root of 196.25 which is 14.5.

thus Lsa of cone is 22/7 × 3.5 × 14.5 which is 159.5

so total surface area of ice cream cone is 159.5 + 77 sq.cm which is 236.5 sq. cm