The radius of the base and slant height of a cone is 7 cm and 25 cm respectively. Find the volume of the cone.
Answers
Answered by
17
given,
radius,r=7cm
slant height,l=25cm
height,h=root under(l^2-r^2)
= root under (25^2-7^2) cm
= 24 cm
volume = 1/3×22/7×7×7×24cm^3
= 1232 cm^3(ans)
radius,r=7cm
slant height,l=25cm
height,h=root under(l^2-r^2)
= root under (25^2-7^2) cm
= 24 cm
volume = 1/3×22/7×7×7×24cm^3
= 1232 cm^3(ans)
Answered by
18
hiii!!!
here's ur answer...
given :-
radius of the base of cone = 7 cm
length ( slant height ) of the cone = 25 cm
the formula to find the volume of a cone is 1/3 pi r^2h
so first of all, we have to find the height of the cone.
==> length^2 = height^2 + radius^2
==. 25^2 = height^2 + 7^2
==> 625 = height^2 + 49
==> 625 - 49 = height^2
==> 576 = height^2
==> height = 576^1/2
==> height = 24 cm
hence, height of the cone is 24 cm.
now volume of the cone = 1/3 pi r^2 h
= 1/3 * 22/7 * 7 * 7 * 24
= 22/3 * 7 * 24
= 22 * 7 * 8
= 1232 cm^3
hope this helps..!!
here's ur answer...
given :-
radius of the base of cone = 7 cm
length ( slant height ) of the cone = 25 cm
the formula to find the volume of a cone is 1/3 pi r^2h
so first of all, we have to find the height of the cone.
==> length^2 = height^2 + radius^2
==. 25^2 = height^2 + 7^2
==> 625 = height^2 + 49
==> 625 - 49 = height^2
==> 576 = height^2
==> height = 576^1/2
==> height = 24 cm
hence, height of the cone is 24 cm.
now volume of the cone = 1/3 pi r^2 h
= 1/3 * 22/7 * 7 * 7 * 24
= 22/3 * 7 * 24
= 22 * 7 * 8
= 1232 cm^3
hope this helps..!!
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