Question

A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm. What is the volume of the scoop of ice cream? Show all your work. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.

Answer 1

Answer:

a. 462

b. 49

Explanation:

take pi as 22/7

a. volume= π r² h/3

22/7 × 3² × h/3

22/7 × 3 × h

22/7×3

cross multiply

462

b. h= 3 × v/π r²

3 × 462 over 22/7 × 3²

multiply each term by 7

7×3×7×462over22/7×3²

21×462over22×3²

21/1×462/198

= 9702/198

= 49