a conical glass having diametre 7cm and depth 12 cm is filled with soft drink upto the brim. find the quantity of the soft drink to fill such ten glasses
Answers
Given data : A conical glass whose diameter is 7 cm and depth is 12 cm is filled with a soft drink till the edge.
To find : Find the quantity of soft drink to fill ten such glasses ?
Solution : Here, a/c to question;
- Diameter of the conical glass = 7 cm
- Radius of the conical glass = diameter/2 = 7/2 = 3.5 cm
- Depth/Height of the glass = 12 cm
By formula of volume of the cone
➜ Volume of the conical glass = 1/3 π r² h
{Where,
- π = 22/7 or 3.14
- r = radius
- h = height }
➜ Volume of the conical glass = 1/3 * 22/7 * 3.5² * 12
➜ Volume of the conical glass = 22/21 * 12.25 * 12
➜ Volume of the conical glass = 22/21 * 147
➜ Volume of the conical glass = 3233/21
➜ Volume of the conical glass = 154 cm³
Now,
➜ Volume of 10 conical glass = Volume of one conical glass * 10
➜ Volume of 10 conical glass = 154 * 10
➜ Volume of 10 conical glass = 1540 cm³
Answer : Hence, the quantity of the soft drink to fill ten glasses is 1540 cm³.
{More info : Here we know that; 1 cm³ = 0.001 liters
Hence, 1540 cm³ = 1540 * 0.001 liters = 1.54 liters
Answer : Hence, the quantity of the soft drink to fill ten glasses is 1.54 liters}
Learn more :
what will be the labour charges for digging a cubodial pit 6m long, 5m broad and 4m deep at the rate of 15 per 1000dm³
https://brainly.in/question/48757026
Find the volume of the ice cream which forms a hemisphere above the right circular cone after filling in a cone of heigh...
https://brainly.in/question/48341786