Volume and surface of solids

2010016506

Level:

The volume of a right circular cone is

96 π {cm}^{3}

and its diameter and the perpendicular height are in the ratio

3 : 2

. Find the surface

S

of the cone.

S = 96 π {cm}^{2}

S = 60 π {cm}^{2}

S = 96 {cm}^{2}

S = 60 {cm}^{2}

2010016505

Level:

The surface area of a right circular cone is

96 π {cm}^{2}

and its slant height is

10 cm

. Find the volume

V

of the cone.

V = 96 π {cm}^{3}

V = 288 π {cm}^{3}

V = 96 {cm}^{3}

V = 288 {cm}^{3}

2010016504

Level:

How much paper do we need to label the can of peaches with diameter of

12 cm

and height of

18 cm

? (Label covers the side of the can completely, the bottom and the top base are not labelled.) Round your result to

1

decimal place.

678.6 {cm}^{2}

1357.1 {cm}^{2}

339.3 {cm}^{2}

904.8 {cm}^{2}

2010016503

Level:

Find the lateral area of the cone with the diameter of

18 cm

and the perpendicular height of

12 cm

135 π {cm}^{2}

108 π {cm}^{2}

135 {cm}^{2}

324 π {cm}^{2}

2010016502

Level:

The base of a triangular pyramid is an equilateral triangle with a side of

8 cm

(see the picture). The volume of the pyramid is

16 \sqrt{3} {cm}^{3}

. Find the perpendicular height of the pyramid.

3 cm

8 cm

6 cm

3 \sqrt{3} cm

2010016501

Level:

Find the volume and the surface area of a rectangular prism with the edges of lengths

3 cm

9 cm

and

15 cm

V = 405 {cm}^{3}

S = 414 {cm}^{2}

V = 414 {cm}^{3}

S = 405 {cm}^{2}

V = 415 {cm}^{3}

S = 404 {cm}^{2}

V = 42 {cm}^{3}

S = 84 {cm}^{2}

2000003306

Level:

A rectangle with the sides of

4 cm

and

6 cm

is rotated around its longer side thus giving rise to a solid. Find the volume of such a solid?

96 π {cm}^{3}

48 π {cm}^{3}

96 {cm}^{3}

144 π {cm}^{3}

2000003305

Level:

The area of the axial section of a cylinder is

12 {cm}^{2}

. The lateral surface area of the cylinder is:

12 π {cm}^{2}

36 π {cm}^{2}

12 {cm}^{2}

36 {cm}^{2}

2000003304

Level:

The radii of the bases of a cylinder and a cone are equal and the height of the cylinder is twice the height of the cone. The volume of the cylinder and the volume of the cone are in the ratio:

6 : 1

3 : 1

2 : 1

12 : 1

2000003303

Level:

The volume of a regular quadrilateral pyramid is

432 {cm}^{3}

and the base edge of the pyramid has the length equal to

12 cm

. The height of the pyramid is:

9 cm

3 cm

36 cm

27 cm

Volume and surface of solids

2010016506

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