The height of a cone is 15 cm. If its volume is 1570 cm cube, find the radius of the base.
Last updated date: 20th Mar 2023
•
Total views: 306.3k
•
Views today: 6.85k
Answer
306.3k+ 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
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
