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yanalaym [24]
3 years ago
11

A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm, with a hard shell surrounding it

.
What is the volume of the hard shell?
Use 3.14 to approximate pi and express your final answer in hundredths.

mm3
Mathematics
1 answer:
goblinko [34]3 years ago
7 0
Well you have to subtract the soft shell volume from the entire candy volume. Using the formula for the volume of a sphere, the whole candy is 4/3*729*3.14=3052.08
the soft center is 4/3*216*3.14= 904.32. If you subtract, you get the answer of 2147.76 mm^3.
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4 0
3 years ago
What is the surface area of the prism in square feet?
frutty [35]

The surface area of the rectangular prism is 52 square feet (ft^{2}), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

          The given is,

                    A rectangular prism of

                     Let, h - height of the rectangular prism

                            w - Width of the rectangular prism

                            d - Depth of the rectangular prism

Step:1

        From given,

                     h = 4 feet

                     w = 3 feet

                     d = 2 feet

Step:2

        Formula to calculate the surface area of the rectangular prism is,

                      A = 2 (wd+hd+hw)

       Substitute the values of w,d and h

                           = 2 [(3×2) + (4×2) + (4×3)]

                           = 2 (6+8+12)

                           = 2 × 26

                           = 52

                       A = 52 Square feet

Result:

        Thus the surface area of the rectangular prism is 52 square feet (ft^{2}), if the height is 4 feet, width is 3 feet and depth is 2 feet.

3 0
3 years ago
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