Miscellaneous Mensuration (Simple) | Learn Mathematics Online

Miscellaneous Mensuration (Simple)

Study Material (PDF)

Study Material (PDF)

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Question No: #41

Fill in the blanks.
(i) If the radius of the base of a right-circular cone is doubled, the new volume will be ....... times the previous volume.
(ii) If both the radius and height of a cone are doubled, its volume will be …… times its original volume.

Ans: (i) 4, (ii) 8

Question No: #42

The sides containing right angle of a right angled triangle are 8 cm and 6 cm. What is the total surface area of the solid formed by rotating the triangle once around the axis of the long sides of the two adjacent right angles?

Ans: 301.71 sq. cm.

Question No: #43

If the height and volume of a right circular cone are 12 cm and `100\pi` c.c. respectively, then find the slant height of this cone.

Ans: 13 cm.

Question No: #44

The slant height of a right circular cone is 7 cm and the total surface area of it is 147.84 sq.cm. Find the base radius of the cone.

Ans: 4.2 cm

Question No: #45

A right-circular cone has a base circumference of 88 cm and a slant height of 2 dcm. Find the curved surface area of the cone.

Ans: 880 sq. cm.

Question No: #46

The curved surface area of a right circular cone is `\sqrt{5}` times of its base area. Find the ratio of the height and the length of radius of the cone.

Ans: `2:1`

Question No: #47

The curved surface area of a right circular cone is `\sqrt{10}` times of its base area. Find the ratio of the height and the length of diameter of the cone.

Ans: `3:2`

Question No: #48

If the ratio of curved surface area and base area of a right circular cone is `\sqrt{26}:1`, then find the ratio of the height and the length of radius of the cone.

Ans: `5:1`

Question No: #49

77 sq.m. tripal is required to make a right circular conical tent. If the slant height of the tent is 7 m., then let us write by calculating, the base area of tent.

Ans: 38.5 sq.m.

Question No: #50

In a right circular conical tent 11 persons can stay. For each person 4 sq.m. space in the base and 20 cubic m. air are neccessary. Determine the height of the tent put up exactly for 11 persons.

Ans: 15 m.