Q10 of 52 Page 145

Figure 7.13 shows a toy. Its lower part is a hemisphere and the upper part is a cone. Find the volume and the surface area of the toy from the measures shown in the figure.(π= 3.14)

Radius of the circular base, r = 3cm

Height of cone, h = 4cm






⇒ V =3.14×3 × 10


⇒ V = 94.20 cubic cm


Now,




⇒ SC = 3.14 × 3 × 5


⇒ SC = 47.1 sq.cm


Surface area of sphere, SS = 2πr2


⇒ SS = 2× (3.14) × 32


⇒ SS = 56.52 sq.cm


Surface area of toy = 47.1 + 56.52 = 103.52 sq.cm


∴ Volume and surface area of toy is 94.20 cm3 and 103.52 cm2 respectively


More from this chapter

All 52 →
8

In figure 7.11, a toy made from a hemisphere, a cylinder and a cone is shown. Find the total area of the toy.

 9

In the figure 7.12, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?

 11

Find the surface area and the volume of a beach ball shown in the figure.

 12

As shown in the figure, a cylindrical glass contains water. A metal sphere of diameter 2 cm is immersed in it. Find the volume of the water.