Question

A cylindrical container of radius 42cm and height 90 cm is filled with ice cream upto 80% of its capacity. How many cones can we fill with ice cream of radius 7cm and height 10cm?

Answer 1

Please see the attachment

Answer 2

777 cones can we fill with ice cream.

Step-by-step explanation:

Given : A cylindrical container of radius 42cm and height 90 cm is filled with ice cream upto 80% of its capacity.

To find : How many cones can we fill with ice cream of radius 7cm and height 10cm?

Solution :

A cylindrical container of radius 42cm and height 90 cm.

The volume of the cylindrical container is $V=\pi r^2 h$

i.e. $V=\pi\times 42^2\times 90$

Cones can we fill with ice cream of radius 7cm and height 10cm

The volume of the cone is $v=\frac{1}{3}\pi r^2 h$

i.e. $v=\frac{1}{3}\times \pi\times 7^2\times 10$

A cylindrical container is filled with ice cream upto 80% of its capacity.

The number of cones is given by,

$n=80\%\times \frac{V}{v}$

$n=\frac{80}{100}\times \frac{\pi\times 42^2\times 90}{\frac{1}{3}\times \pi\times 7^2\times 10}$

$n=0.8\times 972$

$n=777.6$

Therefore, approximately 777 cones can we fill with ice cream.

#Learn more

A cylindrical ice cream pot of radius 6cm and height 21 cm is full of ice cream the ice cream is to be filled in cones of height 12 cm and radius 3cm how many such cones can be filled with ice cream

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