A cone has a radius of 3 cm and height of 5 cm, what is the volume of the cone?

2 Answers
Jim G. · Noah G
Jul 1, 2016

#V ~~47.124# cubic cm

Explanation:

The following formula is used for calculating the volume (V) of a cone.

#color(red)(|bar(ul(color(white)(a/a)color(black)(V=1/3pir^2h)color(white)(a/a)|)))#
where r is the radius and h, the height.

Substitute r = 3 and h = 5 into the formula.

#rArrV=(pixx3^2xx5)/3=(45xxpi)/3≈47.124" cubic cm"#

Ratnaker Mehta
Jul 1, 2016

Volume #V=1/3*pi*9*5=15pi cm^3 =47.1 cm^3.#

Explanation:

Let radius be #r# & height #H# of the cone. The volume #V# of the cone is given by, #V=1/3*pi*r^2*h.#

Hence, reqd. volume #V=1/3*pi*9*5=15pi cm^3.#

Taking #pi=3.14#, #V=47.1 cm^3.#

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