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#1 a cone-shaped paperweight has a diameter of 3 inches and a height of 5 inches. what is the volume of the paperweight? use 3.14 for pi.

#2 a rectangle has an area of 384 m². the length and the width of the rectangle are changed by a scale factor of 0.75. what is the area of the new rectangle?

#3 the sector of a circle with a 16-centimeter radius has a central angle measure of 45°. what is the exact area of the sector in terms of π ?

#4 a chair is placed near a 26-ft tall tree. a right triangle is formed between the chair, the base of the tree, and the top of the tree. the angle formed at the top of the tree is 56°. how far from the tree is the chair? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

#5 the equation for a circle is x2+10x+y2+12y+52=0 .

what is the equation of the circle in standard form?

(x+25)2+(y+36)2=36
or
(x+25)2+(y+36)2=9
or
(x+5)2+(y+6)2=9
or
(x+5)2+(y+6)2=36

#6 what is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix?

#7 including the bus driver, there are 15 people on a bus. during the bus ride, each person produces 750 btus (british thermal units). the interior of the bus measures 38 feet by 8.5 feet by 6.25 feet.

how many btus per cubic foot are produced?

#8 a wooden cube of bamboo has a side length of 7 cm and a mass of 120 g.

what is the density of the cube? g/cm^3