# PSEB Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4

PSEB Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4

## PSEB 10th Class Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.4

Question 1.

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

Solution:

Question 2.

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.

Solution:

Slant height of frustum = 4 cm

Question 3.

A fez, the cap used by the Turks, is shaded like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.

Total area of the material used = Curved surface area of frustum + Area of the closed side

= 660 + 50.28 = 710.28 cm^{2}

Hence, Total material used = 710.28 cm^{2}.

Question 4.

A container opened from the top is made up of a metal sheet ¡s in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate, of ₹ 20 per litre. Also fmd the cost of metal sheet used to make the container, If it costs ₹ 8 per 100 cm^{2}. (Take π = 3:14.)

Solution:

Question 5.

A metallic right circular cone 20 cm high and whose vertical angle Ls 600 is cut into two parts at the middle of its height by a plane parallel to Its base. If the frustum so obtained be drawn into a wire of diameter 4/4 cm, find the length of the wire.

Solution:

Vertical angle of cone = 60°

Altitude of cone divide vertical angle ∠EOF = 30°

H = 796444.44 cm

H = 7964.44 m

Hence, Length of cylindrical wire (H) = 7964.44 m

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