# What shape is a road roller?

Last updated date: 27th Mar 2023

•

Total views: 307.8k

•

Views today: 3.84k

Answer

Verified

307.8k+ views

Hint: Any roller will have a curved surface in the middle and have circular shape at both ends.

Complete step-by-step answer:

Shape of the road roller is cylindrical.

A cylinder is a three-dimensional object with two round flat bases and one curved surface. It has a curved surface in the middle. The ends are identical. That means bases are parallel to each and have the same diameter.

Assume a cylinder having R as the radius and L as the width. Now, the basic formula involving a cylinder are:

Total surface area of the cylinder = area of curved surface + 2*area of circular end

= \[2\pi {\text{(R}}){\text{L + 2}}\pi {({\text{R}})^2}\]

Volume of the cylinder = area of the circular end * width of the cylinder

= $\pi {{\text{R}}^2} \times {\text{L}}$

Note: The curved surface area of the cylinder is the product of circumference of the circular end and the width. In many questions you will need this formula only. Example, for finding the number of revolutions made by the road roller to level the road of a certain area.

Complete step-by-step answer:

Shape of the road roller is cylindrical.

A cylinder is a three-dimensional object with two round flat bases and one curved surface. It has a curved surface in the middle. The ends are identical. That means bases are parallel to each and have the same diameter.

Assume a cylinder having R as the radius and L as the width. Now, the basic formula involving a cylinder are:

Total surface area of the cylinder = area of curved surface + 2*area of circular end

= \[2\pi {\text{(R}}){\text{L + 2}}\pi {({\text{R}})^2}\]

Volume of the cylinder = area of the circular end * width of the cylinder

= $\pi {{\text{R}}^2} \times {\text{L}}$

Note: The curved surface area of the cylinder is the product of circumference of the circular end and the width. In many questions you will need this formula only. Example, for finding the number of revolutions made by the road roller to level the road of a certain area.

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE