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 8.00 cm and the hemisphere fixed on the top has a diameter of 4.00 cm, find the total surface area of the block.

(i)

374.57 sq.cm
(ii)

396.57 sq.cm
(iii)

394.57 sq.cm
(iv)

399.57 sq.cm
(v)

410.57 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 10.00 cm , while the height of the cylindrical part is 20.00 cm. The base of the conical portion has a diameter of 6.00 cm while the base diameter of the cylindrical portion is 4.00 cm. If the conical portion is painted with red and cylindrical portion with gray, find the area of the rocket painted with each of these colors

(i)
red

area =

116.15 sq.cm

,

gray

area =

266.00 sq.cm
(ii)
red

area =

114.15 sq.cm

,

gray

area =

264.00 sq.cm
(iii)
red

area =

112.15 sq.cm

,

gray

area =

262.00 sq.cm
(iv)
red

area =

115.15 sq.cm

,

gray

area =

265.00 sq.cm
(v)
red

area =

113.15 sq.cm

,

gray

area =

263.00 sq.cm

Question 3

3.

A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 23.00 cm and its radius is 5.00 cm. Find the total surface area of the solid

(i)

945.57 sq.cm
(ii)

958.57 sq.cm
(iii)

970.57 sq.cm
(iv)

942.57 sq.cm
(v)

983.57 sq.cm

Question 4

4.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 35.00 cm and its radius is 9.00 cm. Find the total surface area of the solid

(i)

2998.29 sq.cm
(ii)

3158.29 sq.cm
(iii)

2968.29 sq.cm
(iv)

2848.29 sq.cm
(v)

3118.29 sq.cm

Question 5

5.

A solid consists of a cylinder with one hemispherical end with length 27.00 cm and diameter 10.00 cm. Find the total surface area of the solid

(i)

1064.29 sq.cm
(ii)

1244.29 sq.cm
(iii)

924.29 sq.cm
(iv)

1084.29 sq.cm
(v)

1214.29 sq.cm

Question 6

6.

A solid consists of a cylinder with two hemispherical ends with length 37.00 cm and diameter 19.00 cm. Find the total surface area of the solid

(i)

3584.00 sq.cm
(ii)

3194.00 sq.cm
(iii)

3304.00 sq.cm
(iv)

3344.00 sq.cm
(v)

3514.00 sq.cm

Question 7

7.

Two cubes each of volume 4096.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.

(i)

2730.00 sq.cm
(ii)

2480.00 sq.cm
(iii)

2720.00 sq.cm
(iv)

2320.00 sq.cm
(v)

2560.00 sq.cm

Question 8

8.

From a circular cylinder of diameter 16.00 cm and height 16.00 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)

1315.52 sq.cm
(ii)

1635.52 sq.cm
(iii)

1305.52 sq.cm
(iv)

1455.52 sq.cm
(v)

1675.52 sq.cm

Question 9

9.

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 23.00 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 13.00 cm

(i)

1424.72 sq.cm
(ii)

1644.72 sq.cm
(iii)

1694.72 sq.cm
(iv)

1804.72 sq.cm
(v)

1614.72 sq.cm

Question 10

10.

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 26 m and the height of the cylindrical part is 17.00 m. If the diameter of the base is 36.00 m, find the quantity of canvas required to make the tent. Allow 12% extra for folds and for stitching.

(i)

3489.04 sq.m
(ii)

3379.04 sq.m
(iii)

3429.04 sq.m
(iv)

3709.04 sq.m
(v)

3249.04 sq.m

Assignment Key