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

(i)

768.29 sq.cm
(ii)

783.29 sq.cm
(iii)

791.29 sq.cm
(iv)

776.29 sq.cm
(v)

764.29 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 17.00 cm , while the height of the cylindrical part is 34.00 cm. The base of the conical portion has a diameter of 18.00 cm while the base diameter of the cylindrical portion is 10.00 cm. If the conical portion is painted with blue and cylindrical portion with gray, find the area of the rocket painted with each of these colors

(i)
blue

area =

718.22 sq.cm

,

gray

area =

1145.14 sq.cm
(ii)
blue

area =

721.22 sq.cm

,

gray

area =

1148.14 sq.cm
(iii)
blue

area =

719.22 sq.cm

,

gray

area =

1146.14 sq.cm
(iv)
blue

area =

720.22 sq.cm

,

gray

area =

1147.14 sq.cm
(v)
blue

area =

722.22 sq.cm

,

gray

area =

1149.14 sq.cm

Question 3

3.

A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 30.00 cm and its radius is 8.00 cm. Find the total surface area of the solid

(i)

2252.00 sq.cm
(ii)

2372.00 sq.cm
(iii)

1992.00 sq.cm
(iv)

2112.00 sq.cm

Question 4

4.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 26.00 cm and its radius is 7.50 cm. Find the total surface area of the solid

(i)

1892.86 sq.cm
(ii)

2052.86 sq.cm
(iii)

2102.86 sq.cm
(iv)

1932.86 sq.cm
(v)

1782.86 sq.cm

Question 5

5.

A solid consists of a cylinder with one hemispherical end with length 37.00 cm and diameter 18.00 cm. Find the total surface area of the solid

(i)

2856.86 sq.cm
(ii)

2686.86 sq.cm
(iii)

3006.86 sq.cm
(iv)

3036.86 sq.cm
(v)

2796.86 sq.cm

Question 6

6.

A solid consists of a cylinder with two hemispherical ends with length 25.00 cm and diameter 11.00 cm. Find the total surface area of the solid

(i)

1244.57 sq.cm
(ii)

1094.57 sq.cm
(iii)

1464.57 sq.cm
(iv)

1304.57 sq.cm
(v)

984.57 sq.cm

Question 7

7.

Two cubes each of volume 6859.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.

(i)

3840.00 sq.cm
(ii)

3440.00 sq.cm
(iii)

3460.00 sq.cm
(iv)

3750.00 sq.cm
(v)

3610.00 sq.cm

Question 8

8.

From a solid cylinder of height 10.00 cm and base radius 6.00 cm, a conical cavity of height 3.00 cm and base radius 6.00 cm is drilled out. Find the total surface area of the resulting solid

(i)

599.82 sq.cm
(ii)

644.82 sq.cm
(iii)

601.82 sq.cm
(iv)

616.82 sq.cm
(v)

630.82 sq.cm

Question 9

9.

From a circular cylinder of diameter 20.00 cm and height 20.00 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)

2054.17 sq.cm
(ii)

2274.17 sq.cm
(iii)

2334.17 sq.cm
(iv)

2224.17 sq.cm
(v)

2554.17 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 5.50 cm and 21.50 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)

1327.50 sq.cm
(ii)

1177.50 sq.cm
(iii)

1257.50 sq.cm
(iv)

1037.50 sq.cm
(v)

1007.50 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 29 m and the height of the cylindrical part is 16.00 m. If the diameter of the base is 32.00 m, find the quantity of canvas required to make the tent. Allow 5% extra for folds and for stitching.

(i)

2898.34 sq.m
(ii)

2658.34 sq.m
(iii)

2938.34 sq.m
(iv)

2738.34 sq.m
(v)

2778.34 sq.m

Assignment Key