Mensuration Additional One Mark Online Test

Mensuration Additional One Mark Online Test (10th Standard Mathematics)

Pick how many questions you want and set a time limit, then start. You'll get your score at the end with the correct answer and an explanation for every question. Free, in Tamil and English — 15 questions available.

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If the radius of a right circular cylinder is doubled and its height is halved, how does its curved surface area change?

A.It is halved B.It remains unchanged C.It is doubled D.It is quadrupled

What is the curved surface area of a solid right circular cone whose base radius is \(7\text{ cm}\) and height is \(24\text{ cm}\)?

A.\(168\pi\text{ cm}^2\) B.\(175\pi\text{ cm}^2\) C.\(185\pi\text{ cm}^2\) D.\(576\pi\text{ cm}^2\)

If the numerical value of the volume of a solid hemisphere is equal to its total surface area, then what is its radius?

A.\(2\text{ units}\) B.\(3\text{ units}\) C.\(4.5\text{ units}\) D.\(9\text{ units}\)

If the ratio of the surface areas of two spheres is \(4:9\), then what is the ratio of their volumes?

A.2:3 B.4:9 C.8:27 D.16:81

The volume of a right circular cylinder is \(360\pi\text{ cm}^3\). If its height is \(10\text{ cm}\), what is its curved surface area?

A.\(60\pi\text{ cm}^2\) B.\(72\pi\text{ cm}^2\) C.\(120\pi\text{ cm}^2\) D.\(240\pi\text{ cm}^2\)

If a right circular cylinder and a cone have the same base radius and the same height, and the volume of the cylinder is \(120\text{ cm}^3\), then what is the volume of the cone?

A.\(40\text{ cm}^3\) B.\(60\text{ cm}^3\) C.\(240\text{ cm}^3\) D.\(360\text{ cm}^3\)

The outer and inner radii of a right circular hollow cylinder are \(5\text{ cm}\) and \(3\text{ cm}\) respectively, and its height is \(10\text{ cm}\). Find its total surface area.

A.\(160\pi\text{ cm}^2\) B.\(176\pi\text{ cm}^2\) C.\(192\pi\text{ cm}^2\) D.\(224\pi\text{ cm}^2\)

A frustum of a cone has a height of \(4\text{ cm}\). If the radii of its circular bases are \(6\text{ cm}\) and \(3\text{ cm}\), what is its slant height?

A.\(3\text{ cm}\) B.\(4\text{ cm}\) C.\(5\text{ cm}\) D.\(7\text{ cm}\)

A solid metallic sphere of radius \(6\text{ cm}\) is melted and recast into a solid cylinder of radius \(8\text{ cm}\). What is the height of the cylinder?

A.\(3.5\text{ cm}\) B.\(4.5\text{ cm}\) C.\(6\text{ cm}\) D.\(9\text{ cm}\)

Q10

If the radius of a sphere is doubled, then its surface area increases by what percentage?

A.100\% B.200\% C.300\% D.400\%

Q11

A solid cone has a base radius of \(5\text{ cm}\) and a slant height of \(13\text{ cm}\). What is its total surface area?

A.\(65\pi\text{ cm}^2\) B.\(90\pi\text{ cm}^2\) C.\(120\pi\text{ cm}^2\) D.\(180\pi\text{ cm}^2\)

Q12

What is the ratio of the curved surface area to the total surface area of a solid hemisphere?

A.1:2 B.2:3 C.3:4 D.2:1

Q13

A sphere of radius \(r\) is inscribed inside a right circular cylinder of radius \(r\) and height \(2r\). What is the ratio of the volume of the cylinder to the volume of the sphere?

A.1:1 B.3:2 C.4:3 D.2:3

Q14

If the volume of a sphere is \(\frac{32}{3}\pi\text{ cm}^3\), then what is its surface area?

A.\(8\pi\text{ cm}^2\) B.\(12\pi\text{ cm}^2\) C.\(16\pi\text{ cm}^2\) D.\(32\pi\text{ cm}^2\)

Q15

A toy is formed by surmounting a cone of height \(4\text{ cm}\) on a solid hemisphere of radius \(3\text{ cm}\). Find the total volume of the toy.

A.\(18\pi\text{ cm}^3\) B.\(24\pi\text{ cm}^3\) C.\(30\pi\text{ cm}^3\) D.\(36\pi\text{ cm}^3\)

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About this Mensuration test

This free online practice test covers Mensuration from the 10th Standard Mathematics (Samacheer Kalvi) syllabus. Choose the number of questions and an optional time limit, then answer and submit — everything is checked in your browser, with the correct answers and a worked explanation shown at the end. For the full solutions to every question in this set, see the solved MCQs page.

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