Area And Volume - 3D Test

Result

Area And Volume - 3D Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

The diameter of a right circular cone is 14 m and its slant height is 12 m. Find the cost of colouring its total surface at the rate of 14 paisa per sq. metre.

A
Rs. 55.50

B
Rs. 60.02

C
Rs. 58.52

D
Rs. 60.55

Solution

Total surface area of a cone = π rl + π r^2Therefore total surface area = (264 + 164 ) m^2 . Cost of 1 metre square = 14 paise.Cost of 418 metre square = Rs. 58.52.
Question 2
1 / -0

A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between the two vessels is filled with cork dust for heat insulation purposes. How many cubic centimetres of cork dust will be required?

A
1,690 cm³

B
1,780 cm³

C
1,980 cm³

D
1,680 cm³

Solution

Volume of cork dust required = π (8² - 7²) x 42 = 1980 cm³
Question 3
1 / -0

A cone of radius 20 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. The ratio of volumes of the two parts formed is

A
1 : 8

B
2 : 7

C
3 : 7

D
none of these