Find the volume of each figure described below.
1. a cone with a radius of 10 mm and a height of 18mm.
what is asked?____________
what are given? ___________
solve:
2. a rectangle prism with a length of 11.25 dm with of 7.5 cm and a height of 4.13 dm.
what is asked?____________ what are given?___________ solve:
please answer I need now please
Answers
Question (1) :
What is asked :-
- Volume of the cone = ?
What is given :-
- Radius of the cone = 10 mm
- Height of the cone = 18 mm
Solution :-
Formula to calculate the volume of the cone :-
- Volume of the cone = ⅓ πr²h
where,
- Take π = 22/7
- r = radius
- h = height
Substituting the given values :-
→ Volume = ⅓ × 22/7 × 10 × 10 × 18
→ Volume = 22/7 × 10 × 10 × 6
→ Volume = 1,885.71
Therefore, the volume of cone = 1,885.71 mm³
Question (2) :-
What is asked :-
- Volume of the rectangle prism
what is given :-
- Length of the rectangle prism = 11.25 dm
- Breadth of the rectangle prism = 7.5 cm
- Height of the rectangle prism = 4.13 dm
Solution :-
Firstly, we will convert he breadth of the rectangle prism from cm into dm. Because units should be same while doing calculation for the correct answer.
As we know,
- 1 dm = 10 cm
So, in order to convert the value of breadth from cm into dm multiply it by 10.
→ Breadth = 7.5 cm
→ Breadth = 7.5 × 10
→ Breadth = 75 dm
Formula to calculate the volume of rectangle prism = l × b × h
where,
- l denotes the length
- b denotes the breadth
- h denotes the height
Substituting the given values :-
→ Volume = 11.25 × 75 × 4.13
→ Volume = 3,484.6875
Therefore, the volume of the rectangle prism = 3,484.6875 dm³