Original Recipe (for 24 people)
500g of salty ingredients
350g of sprinkly ingredients
400g of chewy ingredients
200g of fruit
1Kg of melted chocolate
Part – A
1. A) Your party is only for 12 friends, and you don’t want to have any extra food.
How many grams of each ingredient (food) should you use? Show your working.
B) 6 friends can’t come! Now you only have 6 friends coming to your party.
How many grams of each ingredient (food) should you use now? Show your working.
C) 2 extra friends show up to (arrive at) the part – you need to include them.
How many grams of each ingredient (food) should you use in your recipe for 8 friends?
Part – B
2. The melted chocolate is at 58℃ at the beginning. The chocolate starts to become solid
around 30℃ (its “freezing point”)
A) The fridge cools by 4℃ every 5 minutes. How long will it take for the chocolate to
become solid?
Answers
Step-by-step explanation:
Radius of the base of cylinder is 14 cm.
Volume of cylinder is 3080 cm³.
Step-by-step explanation:
Given:-
Curved surface area of cylinder is 440 cm².
Height of cylinder is 5 cm.
To find:-
Radius of base of cylinder.
Volume of cylinder.
Solution:-
We know,
\boxed{\sf \bold{Curved\: surface \: area \: of \: cylinder = 2 \pi r h}}
Curvedsurfaceareaofcylinder=2πrh
Where, r is radius of cylinder and h is height of cylinder.
Put the values :
\longrightarrow⟶ 2πrh = 440
\longrightarrow⟶ 2 × 22/7 × r × 5 = 440
\longrightarrow⟶ 44/7 × r × 5 = 440
\longrightarrow⟶ 44/7 × r = 440/5
\longrightarrow⟶ 44/7 × r = 88
\longrightarrow⟶ 44 × r = 88 × 7
\longrightarrow⟶ 44 × r = 616
\longrightarrow⟶ r = 616/44
\longrightarrow \purple{\boxed{\sf \bold{r = 14}}\star}⟶
r=14
⋆
Radius of base of cylinder is 14 cm.
Now,
\boxed{\sf \bold{ Volume \: of \: cylinder = \pi r^{2} h}}
Volumeofcylinder=πr
2
h
Put the values:
\longrightarrow⟶ 22/7 × (14)² × 5
\longrightarrow⟶ 22/7 × 196 × 5
\longrightarrow⟶ 21560/7
\longrightarrow \red{\boxed{\sf \bold{3080}}\star}⟶
3080
⋆
Therefore,
Volume of cylinder is 3080 cm³.
Answer:Radius of the base of cylinder is 14 cm.
Volume of cylinder is 3080 cm³.
Step-by-step explanation:
Given:-
Curved surface area of cylinder is 440 cm².
Height of cylinder is 5 cm.
To find:-
Radius of base of cylinder.
Volume of cylinder.
Solution:-
We know,
\boxed{\sf \bold{Curved\: surface \: area \: of \: cylinder = 2 \pi r h}}
Curvedsurfaceareaofcylinder=2πrh
Where, r is radius of cylinder and h is height of cylinder.
Put the values :
\longrightarrow⟶ 2πrh = 440
\longrightarrow⟶ 2 × 22/7 × r × 5 = 440
\longrightarrow⟶ 44/7 × r × 5 = 440
\longrightarrow⟶ 44/7 × r = 440/5
\longrightarrow⟶ 44/7 × r = 88
\longrightarrow⟶ 44 × r = 88 × 7
\longrightarrow⟶ 44 × r = 616
\longrightarrow⟶ r = 616/44
\longrightarrow \purple{\boxed{\sf \bold{r = 14}}\star}⟶
r=14
⋆
Radius of base of cylinder is 14 cm.
Now,
\boxed{\sf \bold{ Volume \: of \: cylinder = \pi r^{2} h}}
Volumeofcylinder=πr
2
h
Put the values:
\longrightarrow⟶ 22/7 × (14)² × 5
\longrightarrow⟶ 22/7 × 196 × 5
\longrightarrow⟶ 21560/7
\longrightarrow \red{\boxed{\sf \bold{3080}}\star}⟶
3080
⋆
Therefore,
Volume of cylinder is 3080 cm³.
Step-by-step explanation: