
The height of a cone is 15 cm. If its volume is 1570 cm cube, find the radius of the base.
Answer
512.1k+ views
Hint: Use volume formula of the cone and put all the given values and then solve the equation for radius of the base.
We know that, volume of the cone $ = \dfrac{1}{3}\pi {r^2}h$where r is radius and h is height. We have given the volume and height of the cone. Let’s put all the values.
$
V = \dfrac{1}{3}\pi {r^2}h \\
\Rightarrow 1570 = \dfrac{1}{3} \times 3.14 \times {r^2} \times 15 \\
\Rightarrow r = \sqrt {\dfrac{{1570}}{{15}} \times \dfrac{3}{{3.14}} } \\
\Rightarrow r = \sqrt {100} \\
\Rightarrow r = 10 \\
$
Hence the required radius of the cone is 10 cm.
Note: In mensuration problems, we need to remember the formula which is required for the particular question.
We know that, volume of the cone $ = \dfrac{1}{3}\pi {r^2}h$where r is radius and h is height. We have given the volume and height of the cone. Let’s put all the values.
$
V = \dfrac{1}{3}\pi {r^2}h \\
\Rightarrow 1570 = \dfrac{1}{3} \times 3.14 \times {r^2} \times 15 \\
\Rightarrow r = \sqrt {\dfrac{{1570}}{{15}} \times \dfrac{3}{{3.14}} } \\
\Rightarrow r = \sqrt {100} \\
\Rightarrow r = 10 \\
$
Hence the required radius of the cone is 10 cm.
Note: In mensuration problems, we need to remember the formula which is required for the particular question.
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

What is pollution? How many types of pollution? Define it

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.
