# CBSE Class 10 Math Question Paper 2016 | Q17

###### CBSE Maths Board Paper Solution | 3 Mark | Volume of Cones and Cylinders

The given question is an easy 3-mark question from the chapter Surface Areas and Volume. Computing volumes of a cone and cylinder. This question appeared in Section C of the 2016 CBSE class 10 board paper.

Question 17: A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the cylindrical vessel, (Use π = $$frac{22}{7}$). ## Target Centum in CBSE 10th Maths #### Free Online CBSE Coaching online.maxtute.com ### Video Explanation ## NCERT Solution to Class 10 Maths #### With Videos ### Explanatory Answer | CBSE 2016 Maths Paper Q17 ##### Volume of water in the conical vessel = Volume of water emptied into the cylindrical vessel Volume of water in the conical vessel = $\frac{1}{3}$πr2h = $\frac{1}{3}$× π × 52 × 24 .....$1)

Let the height to which water will rise in the cylindrical vessel be 'h' cm
Volume of water emptied into the cylindrical vessel = πr2h
= π × 102 × h ..... (2)

Equate (1) and (2)
$$frac{1}{3}$ × π × 52 × 24 = π ×$5 × 2)2 × h
$\frac{1}{3}$ × 24 = 4 × h
or h = 2 cm

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