The document provides multiple examples of calculating the volume of cylinders based on given dimensions, such as radius and height. It includes specific scenarios, like a cylindrical drum storing rainwater and a propane tank, demonstrating how to apply the formula for volume using π=3.14. Solutions to each example are detailed with mathematical calculations to find the respective volumes or dimensions.

1. MATATAG
7
Grade
Volume of
Cylinder
Solving Problems:

2. • solve problems involving the
volumes of cylinders
OBJECTIVES

3. Area of a Circle
Recap
Volume of a Cylinder

4. Solving Volume
of a Cylinder

5. Solving Volume of a Cylinder
Example 1. A cylindrical drum is used to store rainwater for
a small household. The drum has a radius of meters and a
height of . What is the total volume of water the drum can
hold? (Use 𝜋=3.14)
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋ℎ
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 =
13.5648
Solution:
The volume of
the cylinder
is 13.56
=
=
=
Given:
≈ 13.56

6. Solving Volume of a Cylinder
Example 2. A farmer uses a cylindrical silo to store grain.
The silo has a diameter of and a height of . What is the total
volume of the silo in cubic feet?
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋ℎ
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = 1,177.5
Solution:
The volume of the
cylinder is 1,177.5
=
=
=
Given:
=
=
= 5
=

7. Solving Volume of a Cylinder
Example 3. A large cylindrical water tank can hold of water.
The height of the tank is . What is the radius of the tank?
Solution:
Given:
= ?
=
=
= (3.14)
= (18.84
=
𝑟=6.92820...
The radius of the
cylinder is
√ 4 8=𝑟2
48=𝑟2
6.92820… =
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 = 𝜋ℎ
≈ 6.93 𝑚

8. Solving Volume of a Cylinder
Example 4. A cylindrical propane tank has a radius of and a
volume of . What is the height of the tank?
Solution:
Given:
𝑟 =2 𝑓 𝑡
=
= ?
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 = 𝜋ℎ
= (3.14)
= (3.14)
= (12.56
=
h=4 𝑓𝑡 The height of the cylinder is

9. Solving Volume of a Cylinder
Example 5. A cylindrical water container needs to be filled
with water for a barangay event. The container has a
height of and a radius of . However, due to a leak, the
container can only hold of its total volume. How much
water can the container hold in cubic meters?
Solution:
Given:
The container can hold 6.28 of
water due to the leak
=
=
=
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋ℎ
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = 7.85
𝑉water = 7.85 ×
𝑉water =
𝑉water = 6.28

10. 1.A cylindrical drum is used to collect rainwater for irrigation in a
community garden. The drum has a radius of and a height of . What
is the total volume of water the drum can hold in cubic meters? ()
2.A farmer uses a cylindrical silo to store hay for livestock. The silo has
a diameter of and a height of . What is the total volume of the silo in ?
3.A large cylindrical water tank is used to store water for a barangay.
The tank can hold meters of water. The height of the tank is . What is
the radius of the tank?
Find the volume of the solid figure
with the following measurements:
Activity

11. 4. A cylindrical propane tank has a radius of and a volume of . What is
the height of the tank?
5. A cylindrical water container is used to store water for a school
event. The container has a height of and a radius of . However, due
to a leak, the container can only hold of its total volume. How much
water can the container hold in cubic meters?
Find the volume of the solid figure
with the following measurements:
Activity

12. Activity SOLUTIONS:
1.A cylindrical drum is used to collect rainwater for irrigation in a
community garden. The drum has a radius of and a height of . What
is the total volume of water the drum can hold in cubic meters? ()
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋ℎ
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 =
17.6625
Solution:
The drum can
hold
approximately
17.66 .
≈ 17.66

13. Activity SOLUTIONS:
2. A farmer uses a cylindrical silo to store hay for livestock. The silo
has a diameter of and a height of . What is the total volume of the
silo in ?
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋ℎ
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = 1,130.4
Solution:
The silo can hold
approximately 1,130.4 of
hay.
=
=
= 6

14. Activity SOLUTIONS:
3. A large cylindrical water tank is used to store water for a barangay.
The tank can hold meters of water. The height of the tank is . What is
the radius of the tank?
= (3.14)
= (2
=
𝑟=7.071067…
The radius of the
cylinder is
√50=𝑟2
5 0=𝑟 2
7.071067… =
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 = 𝜋ℎ
≈7.07 𝑓𝑡

15. Activity SOLUTIONS:
4. A cylindrical propane tank has a radius of and a volume of . What is
the height of the tank?
Solution:
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 = 𝜋ℎ
= (3.14)
= (3.14)
= (2
= h=3 𝑓𝑡 The height of the cylinder is

16. Activity SOLUTIONS:
5. A cylindrical water container is used to store water for a school event.
The container has a height of and a radius of . However, due to a leak,
the container can only hold of its total volume. How much water can
the container hold in cubic meters?
Solution:
The container can hold 47.1 of
water due to the leak
𝑉𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟=𝜋ℎ
𝑉 = (3.14)
𝑉 = (3.14)
𝑉 = 62.8
𝑉water = 62.8 ×
𝑉water =
𝑉water = 47.1

17. Thank You
for Listening