Aspherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuring 4 ft in diameter and 10 ft long can be completely filled from the storage tank?

Diameter of the spherical storage tank = 24 ft

So, radius of the tank = ft

Volume of the spherical tank = 4/3 * PI * r³

=

= 7234.56 cubic feet

Diameter of cylindrical tank = 4 ft

So, radius = ft

Height of cylindrical tank = 10 ft

Volume of cylindrical tank = PI * r² * h

= cubic feet

So, the number of cylindrical tanks that can be filled from the spherical tank are =

Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.

probability for j is 1/4

while

a is 1/6

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.