**Telangana**** SCERT Solution Class IX (9) Math Chapter 10 Surface Areas and Volumes Exercise 10.4**

**(1.) The radius of a sphere is 3.5 cm. Find its surface area and volume.**

**(2.) The surface area of a sphere is 1018-2/7 sq.cm. What is its volume?**

**Solution:**

**(3.) The length of equator of the globe is 44 cm. Find its surface area.**

Solution:

**(4.) The diameter of a spherical ball is 21 cm. How much leather is required to prepare 5 such balls.**

**(5.) The ratio of radii of two spheres is 2 : 3. Find the ratio of their surface areas and volumes.**

**Solution:**

**(6.) Find the total surface area of a hemisphere of radius 10 cm. (use π = 3.14)**

Solution:

Given,

Radius of hemisphere = 10a, π = 3.14

Total surface area of hemisphere = 3πr^{2}

= 3 x 3.14 x 10^{2}

= 3 x 3.14 x 100

= 3 x 314

= 942 cm^{2}

**(7.) The diameter of a spherical balloon increases from 14 cm. to 28 cm. as air is being pumped into it. Find the ratio of surface areas of the balloons in the two cases.**

Solution:

**(8.) A hemispherical bowl is made of brass, 0.25 cm. thickness. The inner radius of the bowl is 5 cm. Find the ratio of outer surface area to inner surface area.**

Solition:

**(9.) The diameter of a lead ball is 2.1 cm. The density of the lead used is 11.34 g/c ^{3} . What is the weight of the ball?**

Solution:

**(11.) How many litres of milk can a hemispherical bowl of diameter 10.5 cm. hold?**

Solution:

**(12.) A hemispherical bowl has diameter 9 cm. The liquid is poured into cylindrical bottles of diameter 3 cm. and height 3 cm. If a full bowl of liquid is filled in the bottles, find how many bottles are required.**

Solution:

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