FINDING THE VOLUME OF CYLINDER, PYRAMID, CONES AND SPHERES (M6MEIVb-97)

FINDING THE VOLUME OF CYLINDER, PYRAMID, CONES AND SPHERES

M6MEIVb-97 | finds the volume of cylinders, pyramids, cones, and spheres.

 

Have you ever wondered how much space a container can hold or how much water it can contain? One way to answer that question is to find the volume of the container. The volume of a three-dimensional object is the amount of space it takes up. In this article, we will learn how to find the volume of cylinders, pyramids, cones, and spheres.

 

Volume of a Cylinder:

A cylinder is a three-dimensional shape with two circular bases that are parallel to each other. To find the volume of a cylinder, you need to know its radius and height. The formula for the volume of a cylinder is:

 

Volume of Cylinder = π x radius² x height

 

Where π (pi) is a mathematical constant equal to approximately 3.14. To find the volume of a cylinder, you need to square the radius, multiply it by π and then multiply it by the height.

 

Volume of a Pyramid:

A pyramid is a three-dimensional shape with a base that can be any polygon and triangular sides that meet at a point called the apex. To find the volume of a pyramid, you need to know its length, width, and height. The formula for the volume of a pyramid is:

 

Volume of Pyramid = (length x width x height)/3

 

To find the volume of a pyramid, you need to multiply the length, width, and height together, and then divide the result by 3.

 

Volume of a Cone:

A cone is a three-dimensional shape with a circular base that tapers to a point called the apex. To find the volume of a cone, you need to know its radius and height. The formula for the volume of a cone is:

 

Volume of Cone = (π x radius² x height)/3

 

To find the volume of a cone, you need to square the radius, multiply it by π, multiply it by the height, and then divide the result by 3.

 

Volume of a Sphere:

A sphere is a three-dimensional shape that is perfectly round with no flat faces or edges. To find the volume of a sphere, you need to know its radius. The formula for the volume of a sphere is:

 

Volume of Sphere = (4/3) x π x radius³

 

To find the volume of a sphere, you need to cube the radius, multiply it by π, and then multiply it by 4/3.

 

In summary, the volume of a three-dimensional object is the amount of space it takes up. The formulas for finding the volume of a cylinder, pyramid, cone, and sphere are different, but they all require you to know certain measurements of the shape. Understanding how to find the volume of these shapes can be helpful in many real-life situations, such as calculating the amount of water a container can hold or the amount of soil needed for a garden.

 

TRANSLATION

 

M6MEIVb-97 | hinahanap ang volume ng mga cylinder, pyramids, cones, at spheres.

 

Naisip mo na ba kung gaano karaming espasyo ang maaaring hawakan ng isang lalagyan o kung gaano karaming tubig ang maaaring laman nito? Ang isang paraan upang masagot ang tanong na iyon ay upang mahanap ang dami ng lalagyan. Ang volume ng isang three-dimensional na bagay ay ang dami ng espasyong kinukuha nito. Sa artikulong ito, matututunan natin kung paano hanapin ang volume ng mga cylinder, pyramids, cones, at spheres.

 

Volume ng isang silindro:

Ang silindro ay isang three-dimensional na hugis na may dalawang pabilog na base na parallel sa isa't isa. Upang mahanap ang volume ng isang silindro, kailangan mong malaman ang radius at taas nito. Ang formula para sa dami ng isang silindro ay:

 

Volume ng Silindro = π x radius² x taas

 

Kung saan ang π (pi) ay isang mathematical constant na katumbas ng humigit-kumulang 3.14. Upang mahanap ang volume ng isang silindro, kailangan mong i-square ang radius, i-multiply ito sa π at pagkatapos ay i-multiply ito sa taas.

 

Volume ng isang Pyramid:

Ang pyramid ay isang three-dimensional na hugis na may base na maaaring maging anumang polygon at triangular na panig na nagtatagpo sa isang puntong tinatawag na apex. Upang mahanap ang volume ng isang pyramid, kailangan mong malaman ang haba, lapad, at taas nito. Ang formula para sa dami ng isang pyramid ay:

 

Volume ng Pyramid = (haba x lapad x taas)/3

 

Upang mahanap ang volume ng isang pyramid, kailangan mong i-multiply ang haba, lapad, at taas nang magkasama, at pagkatapos ay hatiin ang resulta sa 3.

 

Volume ng isang Cone:

Ang kono ay isang three-dimensional na hugis na may pabilog na base na lumiliit sa isang puntong tinatawag na tuktok. Upang mahanap ang volume ng isang kono, kailangan mong malaman ang radius at taas nito. Ang formula para sa dami ng isang kono ay:

 

Volume ng Cone = (π x radius² x taas)/3

 

Upang mahanap ang dami ng isang kono, kailangan mong i-square ang radius, i-multiply ito sa π, i-multiply ito sa taas, at pagkatapos ay hatiin ang resulta sa 3.

 

Volume ng isang Sphere:

Ang sphere ay isang three-dimensional na hugis na perpektong bilog na walang patag na mukha o gilid. Upang mahanap ang volume ng isang globo, kailangan mong malaman ang radius nito. Ang formula para sa dami ng isang globo ay:

 

Volume ng Sphere = (4/3) x π x radius³

 

Upang mahanap ang volume ng isang globo, kailangan mong i-cube ang radius, i-multiply ito sa π, at pagkatapos ay i-multiply ito sa 4/3.

 

Sa buod, ang volume ng isang three-dimensional na bagay ay ang dami ng espasyong kinukuha nito. Ang mga formula para sa paghahanap ng volume ng isang cylinder, pyramid, cone, at sphere ay iba, ngunit lahat ng mga ito ay nangangailangan sa iyo na malaman ang ilang mga sukat ng hugis. Ang pag-unawa kung paano hanapin ang dami ng mga hugis na ito ay maaaring makatulong sa maraming sitwasyon sa totoong buhay, tulad ng pagkalkula ng dami ng tubig na maaaring hawakan ng isang lalagyan o ang dami ng lupa na kailangan para sa isang hardin.

 

Here are 5 multiple-choice questions related to the article without the correct answers:

 

1) What is the formula for the volume of a cylinder?

a. Volume of Cylinder = π x radius x height

b. Volume of Cylinder = π x radius² x height

c. Volume of Cylinder = π x radius x width

d. Volume of Cylinder = π x height

 

2) What is the formula for the volume of a pyramid?

a. Volume of Pyramid = (length x width x height)/2

b. Volume of Pyramid = (length x width x height)/3

c. Volume of Pyramid = (length + width + height)/3

d. Volume of Pyramid = (length + width + height)/2

 

3) What is the formula for the volume of a cone?

a. Volume of Cone = (π x radius² x height)/2

b. Volume of Cone = (π x radius x height)/3

c. Volume of Cone = (π x radius² x height)/3

d. Volume of Cone = (π x radius x height)/2

 

4) What is the formula for the volume of a sphere?

a. Volume of Sphere = (4/3) x π x radius³

b. Volume of Sphere = (4/3) x π x radius²

c. Volume of Sphere = 2 x π x radius³

d. Volume of Sphere = 2 x π x radius²

 

5) What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

a. 250π cubic cm

b. 125π cubic cm

c. 150π cubic cm

d. 175π cubic cm


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