EduSahara™ Worksheet

Question 1

1.

If two solids, a cube and a hemisphere are combined such that the base of the block is a cube with edge 7.00 cm and the hemisphere fixed on the top has a diameter of 4.00 cm, find the total surface area of the block.

(i)

321.57 sq.cm
(ii)

279.57 sq.cm
(iii)

304.57 sq.cm
(iv)

306.57 sq.cm
(v)

330.57 sq.cm

Question 2

2.

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 14.00 cm , while the height of the cylindrical part is 28.00 cm. The base of the conical portion has a diameter of 20.00 cm while the base diameter of the cylindrical portion is 12.00 cm. If the conical portion is painted with gray and cylindrical portion with red, find the area of the rocket painted with each of these colors

(i)
gray

area =

739.71 sq.cm

,

red

area =

1167.14 sq.cm
(ii)
gray

area =

743.71 sq.cm

,

red

area =

1171.14 sq.cm
(iii)
gray

area =

740.71 sq.cm

,

red

area =

1168.14 sq.cm
(iv)
gray

area =

741.71 sq.cm

,

red

area =

1169.14 sq.cm
(v)
gray

area =

742.71 sq.cm

,

red

area =

1170.14 sq.cm

Question 3

3.

A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 24.00 cm and its radius is 7.00 cm. Find the total surface area of the solid

(i)

1758.00 sq.cm
(ii)

1518.00 sq.cm
(iii)

1288.00 sq.cm
(iv)

1358.00 sq.cm
(v)

1548.00 sq.cm

Question 4

4.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 32.00 cm and its radius is 7.00 cm. Find the total surface area of the solid

(i)

2024.00 sq.cm
(ii)

1844.00 sq.cm
(iii)

2174.00 sq.cm
(iv)

2184.00 sq.cm
(v)

1964.00 sq.cm

Question 5

5.

A solid consists of a cylinder with one hemispherical end with length 32.00 cm and diameter 13.00 cm. Find the total surface area of the solid

(i)

1705.79 sq.cm
(ii)

1685.79 sq.cm
(iii)

1785.79 sq.cm
(iv)

1935.79 sq.cm
(v)

1565.79 sq.cm

Question 6

6.

A solid consists of a cylinder with two hemispherical ends with length 31.00 cm and diameter 16.00 cm. Find the total surface area of the solid

(i)

2363.43 sq.cm
(ii)

2093.43 sq.cm
(iii)

2283.43 sq.cm
(iv)

2493.43 sq.cm
(v)

2523.43 sq.cm

Question 7

7.

Two cubes each of volume 4913.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.

(i)

2890.00 sq.cm
(ii)

2650.00 sq.cm
(iii)

3140.00 sq.cm
(iv)

2730.00 sq.cm
(v)

3010.00 sq.cm

Question 8

8.

From a solid cylinder of height 17.00 cm and base radius 5.00 cm, a conical cavity of height 5.00 cm and base radius 5.00 cm is drilled out. Find the total surface area of the resulting solid

(i)

736.96 sq.cm
(ii)

723.96 sq.cm
(iii)

705.96 sq.cm
(iv)

699.96 sq.cm
(v)

738.96 sq.cm

Question 9

9.

From a circular cylinder of diameter 20.00 cm and height 10.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the total surface area of the remaining solid.

(i)

1257.26 sq.cm
(ii)

1387.26 sq.cm
(iii)

1527.26 sq.cm
(iv)

1507.26 sq.cm

Question 10

10.

A solid consists of a right circular cylinder with a hemisphere on one end and a cone on the other . The radius and height of the cylindrical part are 7.00 cm and 25.00 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the total surface area of the solid, if the height of the conical part is 15.00 cm

(i)

1902.10 sq.cm
(ii)

1522.10 sq.cm
(iii)

1602.10 sq.cm
(iv)

1992.10 sq.cm
(v)

1772.10 sq.cm

Question 11

11.

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 30 m and the height of the cylindrical part is 16.00 m. If the diameter of the base is 34.00 m, find the quantity of canvas required to make the tent. Allow 20% extra for folds and for stitching.

(i)

3723.45 sq.m
(ii)

3463.45 sq.m
(iii)

3613.45 sq.m
(iv)

3403.45 sq.m
(v)

3233.45 sq.m

Assignment Key