NCERT Solutions for Class 10 Maths Exercise 13.4

NCERT Solutions for Class 10 Maths Exercise 13.4 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Surface Areas and Volumes Download as PDF

NCERT Solutions for Class 10 Maths Surface Areas and Volumes

Unless stated otherwise, take

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.

Ans. Here, = 2 m,

= 1 m and = 14 m

Capacity of the glass =

=

=

=

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NCERT Solutions for Class 10 Maths Exercise 13.4

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.

Ans. Let cm and cm be the radii of the ends of the frustum of the cone.

Then, = 4 cm

= 18 cm

= 9 cm

= 6 cm

= 3 cm

Now, CSA of the frustum =

=

=

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NCERT Solutions for Class 10 Maths Exercise 13.4

3. A fez, the cap used by the Turks, is shaped like the frustum of a cone (see figure). 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.

Ans. Here, = 10 cm,

= 4 cm and = 15 cm

Surface area =

=

= =

---

NCERT Solutions for Class 10 Maths Exercise 13.4

4. A container, opened from the top and made up of a metal sheet, is 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 total cost of milk which can completely fill the container at the rate of Rs. 20 per liter. Also find the cost of metal sheet used to make the container, if it costs Rs. 8 per 100 cm².

Ans. Here, = 20 cm,

= 8 cm and = 16 cm

Volume of container =

=

=

=

= = 10.44992 liters

Cost of the milk =

= Rs. 208.8894 = Rs. 209

Now, surface area = +

= +

= +

=

= 1158.4 + 200.96

=

Area of the metal sheet used =

Cost of metal sheet =

= 156.7488 = Rs. 156.75

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NCERT Solutions for Class 10 Maths Exercise 13.4

5. A metallic right circular cone 20 cm high and whose vertical angle is 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 cm, find the length of the wire.

Ans.

cm

cm

= 10 cm

Volume =

=

=

= =

Diameter of the wire = cm

Radius of the wire = cm

Let the length of the wire be cm.

Then, Volume of the wire = = =

According to the question,

=

796444.44 cm = 7964.4 m

NCERT Solutions for Class 10 Maths Exercise 13.4

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