On the basis of above information, answer the following questions :
(i) How much colourful sheets will be required to make 14 caps? [2 Marks]
(ii) What will be the volume of packet containing 21 candies? [2 Marks]
Doubt by Laksay
Solution :
Dimensions of Conical Cap
R=15 cm
H = 20 cm
Dimensions of Spherical Candies
diameter (d) = 1 cm
diameter (d) = 1 cm
radius (r) = 1/2 cm
i) Slant Height (L) = √(R²+H²)
L = √(15²+20²)
L =√(225+400)
L = √625
L = 25 cm
L = √(15²+20²)
L =√(225+400)
L = √625
L = 25 cm
Area of Colourful sheets required for one Conical Cap = CSA of cone = πRL
Area of colourful sheets required for 14 Conical Caps = 14πRL
= 14×(22/7)×15×25
= 2×22×15×25
= 44×375
= 16500 cm²
Area of colourful sheets required for 14 Conical Caps = 14πRL
= 14×(22/7)×15×25
= 2×22×15×25
= 44×375
= 16500 cm²
ii) Volume of one spherical candy = Volume of Sphere = (4/3)πr³
volume of a packet containing 21 candies = 21(4/3)πr³
= 21×(4/3)×(22/7)×(1/2)³
= 88×(1/8)
= 11 cm³
= 88×(1/8)
= 11 cm³
Similar Case Study for Practice :
Reema was very excited about her birthday as only two days were left for Birthday Party. She purchased candles, candies, caps, cold-drink cans, bottles etc. Her Tuition teacher asked Reema to bring caps and candies. As she was teaching her "Mensuration Topic".
They observed that the conical cap has radius of 12 cm and vertical height 5 cm. Also the spherical candies with diameter 1 cm.
They observed that the conical cap has radius of 12 cm and vertical height 5 cm. Also the spherical candies with diameter 1 cm.
On the basis of above information, answer the following questions:
(i) How much colourful sheets will be required to make 14 caps? [2 Marks]
(ii) What will be the volume of packet containing 42 candies? [2 Marks]
Ans :
(i) 6861 cm²
(ii) 22 cm³