Question

36. A solid metallic cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere of same radius. Find the radius of the hemisphere and total height of the toy, if the height of the cone is 3 times the radius.

Answer 1

Answer :

The Number of toys formed is 12.

Step - by - step - explanation :

SOLUTION :

Given :  

Diameter of cylinder = 12 cm  

Radius of cylinder , R = 12/2 = 6 cm

Radius of hemisphere = Radius of the cone, r  = 3 cm

Height of the cylinder, H = 15 m

Height of the toy = 12 cm  

Height of cone, h = 12 - 3 = 9 cm

Volume of solid cylinder,V = πR²H

V = π× 6² × 15

V = π × 36 × 15

V of solid cylinder = 540π cm³

Volume of toy = Volume of hemisphere + Volume of cone

= (2/3πr³ + 1/3πr²h)

= ⅓ πr²(2r + h)

= ⅓ π × 3² (2 × 3 + 9)

= π/3 × 9 (6 + 9)

= 3π× 15  

= 45 π cm³

Volume of toy = 45 π cm³

Number of toys formed ,n = Volume of solid cylinder/Volume of toy

n = 540π/45π

n = 540/45

n = 12

Hence, the Number of toys formed is 12.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

A thunderstorm, also known as an electrical storm or a lightning storm, is a storm characterized by the presence of lightning[1] and its acoustic effect on the Earth's atmosphere, known as thunder.[2] Relatively weak thunderstorms are sometimes called thundershowers.[3] Thunderstorms occur in a type of cloud known as a cumulonimbus.[4] They are usually accompanied by strong winds,[1] and often produce heavy rain[1] and sometimes snow, sleet, or hail,[1] but some thunderstorms produce little precipitation or no precipitation at all. Thunderstorms may line up in a series or become a rainband, known as a squall line. Strong or severe thunderstorms include some of the most dangerous weather phenomena, including large hail, strong winds, and tornadoes. Some of the most persistent severe thunderstorms, known as supercells, rotate as do cyclones.