find the volume of the ice cream which forms a hemisphere Above The right circular cone after filling in a cone of height 12cm and 6 CM diameter of the base 10 equal to 3.14
Answers
Answer: 169.56cm,^3
Explanation:
Height of the cone = 12cm
Diameter = 6 cm
Then, radius = 3 cm
Volume of the cone = 1/3×3.14×r^2×h
1/3×3.14×3×3×12
= 113.04 cm^3
Volume of the hemisphere on the top of cone = 4/3×3,.14×r^3×h
= 4/3×3.14×3×3×3×1/2
= 56.52 cm^3
Total volume of cone = Volume of cone + Volume of the top of cone
=113.04cm^3+ 56.52 cm^3
=169.56 cm^3
Dear Student,
◆ Answer -
Volume of icecream = 169.56 cm^3
● Explanation -
Volume of icecream in the cone is -
Volume of cone = πr²h/3
Volume of cone = 3.142 × 3^2 × 12 / 3
Volume of cone = 113 cm^3
Volume of hemisphere above cone is -
Volume of hemisphere = 2πr³/3
Volume of hemisphere = 2 × 3.142 × 3³/3
Volume of hemisphere = 56.56 cm^3
Total volume of icecream is -
Volume of icecream = volume of cone + volume of hemisphere
Volume of icecream = 113 + 56.56
Volume of icecream = 169.56 cm^3
Hence, volume of icecream is 169.56 cm^3.
Thanks dear. Hope this helps you...