Question

Find the missing dimension of the cone. Round your answer to the nearest tenth. Volume = 225 cm³ Base Length = 10 cm Height = ?

Note: Big Ideas Math 7th Red Accelerated 15.2 Volume of Cones

Answer 1

V=1/3(pi)r^2 h
225 cm^3=1/3(pi)(5 cm)(h) *I'm thinking that 10 cm must be the diameter of the cone so 5 cm would be the radius

225 cm^3=26.179 (h)

8.594...=h

rounded = 8.6 cm

Answer 2

Answer:  The height of the cone is 8.6 cm.

Step-by-step explanation:

We know that the volume of cone is given by :-

$\text{Volume }=\dfrac{1}{3}\pi r^2h$ , where r= radius and h is height

Given : Volume of cone = 225 cm³

Base length = 10 cm

i.e. radius = $\dfrac{10}{2}=5 \ cm$  [cone has circular base]

Substitute these values in formula , we get

$225=\dfrac{1}{3}(3.14)(5)^2(h)\\\\\Rightarrow\ h=\dfrac{225\times3}{3.14\times25}=8.59872611465\approx8.6$

Hence, the height of the cone is 8.6 cm.